the development and use of a double beam photoelectric
TRANSCRIPT
Western Michigan University Western Michigan University
ScholarWorks at WMU ScholarWorks at WMU
Master's Theses Graduate College
8-1967
The Development and Use of a Double Beam Photoelectric The Development and Use of a Double Beam Photoelectric
Polarimeter for the Study of the Faraday Effect Polarimeter for the Study of the Faraday Effect
John Norman Rowe
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Part of the Electromagnetics and Photonics Commons
Recommended Citation Recommended Citation Rowe, John Norman, "The Development and Use of a Double Beam Photoelectric Polarimeter for the Study of the Faraday Effect" (1967). Master's Theses. 3287. https://scholarworks.wmich.edu/masters_theses/3287
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THE DEVELOPMENT AND USE OF A DOUBLE BEAM PHOTOELECTRIC POLAfilMETER
FOR THE STUDY OF THE FARADAY EFFECT
Ly
J o h n N.° Rowe
A T h e s is S u b m itte d to th e
F a c u l ty o f th e S ch o o l o f G rad u a te S tu d ie s i n p a r t i a l f u l f i l l m e n t
o f th eD egree o f M a s te r o f A r ts
W este rn M ic h ig a n U n iv e r s i ty KrJLamazoo, M ich ig an
A u g u s t, 1967
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
ACKNOWLEDGEMENTS
I -wish, to acknow ledge th e v e ry h e lp f u l a d v ic e and c r i t i c i s m
g iv e n hy P r o f e s s o r S ta n le y K . D erby th ro u g h o u t th e c o u rs e o f t h i s
p r o j e c t . My th a n k s a r e e x te n d e d a ls o th e th e o th e r members o f th e
P h y s ic s D ep a rtm en t f o r t h e i r p a t i e n c e and c o o p e r a t io n . I , o f
c o u r s e , r e t a i n f u l l r e s p o n s i b i l i t y f o r t h e work p r e s e n te d h e r e .
I w ould e s p e c i a l l y l i k e t o th a n k M iss P a u la P e c k f o r h e r
c o n s ta n t en cou ragem en t and f o r ty p in g th e m a n u s c r ip t .
J o h n N. Rowe
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| M A STER'S THESIS M -1304II ROW E, Jo h n N orm anI TH E DEVELO PM ENT AND USE O F A DOUBLE BEAMI PH O TO ELEC TR IC PO LA R IM ETER FOR TH E STUDYI O F TH E FARADAY E F F E C T .I| W e s te rn M ichigan U n iv e rs ity , M .A ., 1967| P h y s ic s , g e n e ra l
I| University Microfilms, Inc., Ann Arbor, Michigan£t.
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
TABLE OP CONTENTS
CHAPTER PAGE
I GENERAL INTRODUCTION...................... . ...................................... 1
P r o p e r t i e s ............................. .......................................... . . . . 2
A p p l i c a t io n s ............................................................. 4
I I THEORY................................................................................................. 6
Zeeman E f f e c t ....................................................... 7
Q u a l i t a t i v e D e te rm in a t io n o f R o t a t i o n s 8
E x p e r im e n ta l E v id e n c e .................................... 11
S e l e c t i o n o f Compounds................... 12
I I I EXPERIMENTAL METHODS...*.............................. 14
N o n - E le c t ro n ic M e th o d s ..................................................... 14
E l e c t r o n i c M e t h o d s . . . . ..................................................... 18
IV DESIGN CONSIDERATIONS.............................................................. 22
V INSTRUMENTAL DETAILS...................... 29
L ig h t S o u rc e ................................................................. 29
M o n o ch ro m ato rs ..................... 32
p o l a r i m e te r and C e l l s .......... * ............... 34
M agnet and Pow er S u p p ly ................... . . . * . * ................. 36
E l e c t r o n i c s ............................... 37
M is c e l la n e o u s O p t ic a l C om ponents............................. 39
VI INSTRUMENT PERFORMANCE .................... 40
V II DATA............................................................. 48
P o ta s s iu m I o d id e .................................................. 49
C u p ric S u l f a t e , ........................ 49
i i
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TABLE OP CONTENTS ( C o n t i n u e d )
CHAPTER PAGEF e r r i c C h lo r id e ................................................................. 52
N ic k e l S u l f a t e .................................................... 52
V I I I SUMMARY AND CONCLUSIONS................ . . . ................................. 52
I n s t r u m e n t . . , . . . . - • • 56
M easurem en ts . 57
REFERENCES .................... 59
APPENDIX.. .................................................................... 61
A S ch em atic D i a g r a m s . . . . . . . . . . . . . . . . . . . . . . . . . 62
B A lignm en t P r o c e d u r e .............................................. 67
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LIST'OF FIGURES
FIGURE PAGE
1 A Type I S p ec tru m .......................................... ................................... 9
2 A Type I I S p ec tru m .......................... . ........................... ................ 9
3 ' ' L i s t o f I r o n Group I o n s . . . . . . . . . . . . . . . 13
4 A M ethod o f S tu d y in g th e F a rad a y E f f e c t .......................... 16
5 F i e ld View i n a H a lf-S h a d e A n a ly z e r .................................. 16
6 Use o f a S a v a r t P l a t e . . . . . . . . . . ............... 16
7 B lock D iagram o f P ro p o se d I n s t r u m e n t ................................. 21
8 B lock D iagram o f I n s t r u m e n t a s C o n s t r u c t e d . . . . . . . . 30
9 Equipm ent P h o to g ra p h s ..................................................................... 31
10 L ig h t S o u rce S p e c t r a . ...................... 33
11 M onochrom ator S p e c t r a . ................................................... 35
12 P h o to m u l t i p l i e r O u tp u t S ig n a l .............................. 38
13 A m p lif ie r O u tp u t . .................... 41
14 R o ta t io n V e rsu s M agnet C u r r e n t . . . ....................... 44
15 F a rad a y R o ta t io n o f W a te r .................... 46
16 L og-l;og P l o t o f th e F a ra d a y R o ta t io n o f W a t e r . . . . . 47
17 F a ra d a y R o ta t io n o f P o ta ss iu m I o d i d e .............. ...... 50
18 F a ra d a y R o ta t io n o f Copper S u l f a t e ................... .................. 51
19 F a rad a y R o ta t io n o f N ic k e l S u l f a t e . , . . . ...... 54
20 F a ra d a y R o ta t io n o f H y d ra te d N ic k e l S u l f a t e , OneP e r c e n t S o l u t i o n . . ..................... 55
21 F a ra d a y R o ta t io n o f H y d ra te d N ic k e l S u l f a t e , TenP e r c e n t S o l u t i o n . . ............................ 55
i v
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L IS T OF FIGURES ( C o n t i n u e d )
FIGURE PAGB22 B lo c k D iagram o f L ig h t S o u rc e .................................... 62
23 I n p u t S ta g e s o f Tuned A m p l i f ie r ................................. 63
24 O u tp u t S ta g e s o f Tuned A m p l if ie r ............................................. 64
25 Tuned A m p lif ie r Pow er S u p p ly ...................................... 65
26 P h o to m u l t i p l i e r Pow er S u p p ly .............................................. 66
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CHAPTER I
INTRODUCTION
l a 1846 K . F a rad a y * d is c o v e r e d t h a t th e p la n e o f p o l a r i z a t i o n
i s r o t a t e d when p o l a r i z e d l i g h t i s t r a n s m i t t e d th ro u g h a medium
p la c e d i n a m a g n e tic f i e l d . He d e te rm in e d t h a t t h e r o t a t i o n i s
d i r e c t l y p r o p o r t i o n a l t o t h e a p p l ie d m a g n e tic f i e l d s t r e n g t h and
th e sam p le p a th l e n g t h , and i s i n v e r s e ly r e l a t e d t o th e a n g le b e
tw een th e l i g h t r a y and t h e m a g n e tic f i e l d .
The F a ra d a y e f f e c t i s one o f a num ber o f m a g n e to o p tic e f f e c t s
d is c o v e r e d d u r in g th e l a t e 1 9 th and e a r l y 2 0 th c e n t u r i e s . Among
t h e o t h e r e f f e c t s a r e t h e Zeeman e f f e c t ( th e : s p l i t t i n g o f t h e
s p e c t r a l l i n e s p ro d u ced by a l i g h t s o u rc e p la c e d i n a m a g n e tic
f i e l d ) , t h e C o tto n -M o u to n e f f e c t ( t h e d o u b le r e f r a c t i o n e v id e n c e d
by l i q u i d s and g a s e e s p la c e d i n a m a g n e tic f i e l d ) ,, and th e K e r r
m a g n e to o p tic e f f e c t ( t h e e i l i p i t i c a l p o l a r i z a t i o n o f p la n e p o l a r i z
ed l i g h t r e f l e c t e d from th e p o le o f a n e le c t r o m a g n e t ) . The Zeeman
e f f e c t w i l l b e d i s c u s s e d i n s l i g h t l y m ore d e t a i l i n C h a p te r I I
b e c a u s e i t i s o f c o n s id e r a b le im p o r ta n c e i n t h e th e o r y o f th e
F a ra d a y e f f e c t . A l l f o u r o f th e s e m a g n e to o p tic e f f e c t s a r e d i s -2
c u s se d i n an e le m e n ta ry f a s h i o n by J e n k in s and W hite .
A cadem ic s t u d i e s o f th e F a ra d a y e f f e c t a r e l a r g e l y m o tiv a te d
by t h e hope t h a t t h e F a ra d a y e f f e c t w i l l p ro v e t o b e o f v a lu e a s
a t o o l f o r a n a ly z in g th e m o le c u la r s t r u c t u r e o f com pounds. I f
t h i s end i s t o b e r e a l i z e d , th e c o l l e c t i o n o f a c c u r a te s p e c t r a
from know n com pounds i s n e c e s s a r y . The p u rp o se o f t h i s work was
1
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t o d e s ig n , c o n s t r u c t and e v a lu a te an in s t r u m e n t f o r m e a s u r in g th e
F a ra d a y r o t a t i o n a n d , i f s u c c e s s f u l , m easu re th e r o t a t i o n s p e c t r a
o f a s m a ll num ber o f com pounds.
P r o p e r t i e s
T h is t r e a tm e n t o f th e g e n e r a l p r o p e r t i e s o f th e F a ra d a y
e f f e c t f o l lo w s g e n e r a l ly t h a t o f P a r t i n g to n , An A dvanced T r e a t i s e
on P h y s i c a l C h e m is try , pp.. 5 9 2 -6 3 2 .
The f u n c t i o n a l d ep en d en ce o f th e r o t a t i o n p ro p o se d by F a ra d a y
was s u b s e q u e n t ly v e r i f i e d by V e r d e t , who p ro p o se d th e f o l lo w in g
e q u a tio n :
© i V J t H C o s $ f
W here 0 i s th e r o t a t i o n , J f t h e p a th l e n g t h , ^ th e a n g le b e tw e en
th e l i g h t r a y and th e f i e l d and H th e a p p l ie d m a g n e tic f i e l d
s t r e n g t h . V i s c o n s ta n t a t a g iv e n w a v e len g th and te m p e ra tu re
and i s u s u a l l y c a l l e d th e V e rd e t c o n s t a n t . V i s , o f c o u r s e ,
c h a r a c t e r i s t i c o f th e m a t e r i a l u s e d . V i s u s u a l l y ta k e n to be
p o s i t i v e i f th e r o t a t i o n i s i n th e same d i r e c t i o n a s th e c u r r e n t
w hich p ro d u ce d th e f i e l d and n e g a t iv e i f th e r o t a t i o n i s i n th e
o p p o s i te d i r e c t i o n . An im p o r ta n t f a c t i s t h a t e q u a t io n ( l ) can
n o t be w r i t t e n as a s im p le d o t p r o d u c t be tw een and H b e c a u s e
r e v e r s in g th e d i r e c t i o n o f l i g h t t r a v e l th ro u g h th e magnetic.-
f i e l d does n o t change th e s ig n o f th e r o t a t i o n , b u t r e v e r s in g
t h e d i r e c t i o n o f th e m a g n e tic f i e l d d o es change th e s ig n o f th e
r o t a t i o n .
H ot s u p r i s i n g l y , th e F a ra d a y e f f e c t has b e e n fo u n d t o o c c u r
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4o v e r a l a r g e ra n g e o f w a v e le n g th s , in c lu d in g X -ra y s and
m icrow aves'* , b u t s y s te m a t ic i n v e s t i g a t i o n a p p e a rs t o have b e e n
c o n f in e d t o th e o p t i c a l and m icrow ave r e g i o n s . The i n f r a r e d
F a ra d a y e f f e c t i s o f some im p o r ta n c e i n t h e s tu d y o f in te r b a n d
e f f e c t s i n s e m ic o n d u c to rs and th e r a d io wave F a ra d a y e f f e c t c a n
be u s e d to s tu d y i n t e r s t e l l e r m a g n e tic f i e l d s ^ . The A p r i l , 1 9 6 7 ,
i s s u e o f A p p lied O p tic s c o n ta in s a num ber o f re v ie w a r t i c l e s on
m a g n e to o p tic e f f e c t s , i n c lu d in g th o s e i n s e m ic o n d u c to rs . The
work r e p o r te d o n i n t h i s t h e s i s was c a r r i e d o u t e n t i r e l y i n th e
v i s i b l e and n e a r u l t r a v i o l e t p o r t i o n s o f th e sp e c tru m .
The in f lu e n c e o f te m p e ra tu re on th e F a ra d a y e f f e c t i s some
w hat com plex . O ver ra n g e s o f a few d e g re e s a t room te m p e ra tu re ,
th e te m p e ra tu re dependence i s q u i t e s m a ll and c a n o f t e n b e n e g l e c t
e d . O ver a w ide te m p e ra tu re r a n g e , su ch a s from 1° K to room
te m p e ra tu re , s t r i k i n g ch an g es i n th e r o t a t i o n c an b e o b s e rv e d ,
p a r t i c u l a r l y i n th e c a s e o f p a ra m a g n e tic i o n s . T h is p ro b lem w i l l
b e d is c u s s e d l a t e r i n th e th e o ry s e c t i o n .
V e rd e t n o t ic e d t h a t th e r o t a t i o n s due to p a ra m a g n e tic io n s
( s u c h a s c o b a l t , n i c k e l and i r o n ) a r e i n th e o p p o s i te d i r e c t i o n
from t h a t o f w a te r . K undt d e te rm in e d t h a t i n t h i s c a s e th e r o t a
t i o n i s p r o p o r t io n a l t o th e m a g n e t iz a t io n , M, o f th e sa m p le , i . e . ,
& * KL.M ( 2)
Where K i s c a l l e d K u n d t1s c o n s ta n t and i s t h e sam ple p a th l e n g t h .
A g a in , t h i s e q u a t io n a p p l i e s a t a c o n s ta n t w a v e le n g th f o r a g iv e n
m a t e r i a l . The te m p e ra tu re dependence i s e s s e n t i a l l y d e te rm in e d
by th e te m p e ra tu re dependence o f M.
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F e rro m a g n e tic m a t e r i a l s have a l s o been s tu d i e d . K und t found
l a r g e p o s i t i v e r o t a t i o n s i n t h in f i lm s o f i r o n . F o r exam ple,
u n d e r c o n d i t io n s su ch t h a t q u a r tz showed a r o t a t i o n o f a b o u t 20
d e g r e e s , a t h i n f i lm o f i r o n e x h ib i t e d a r o t a t i o n o f a b o u t 60
co m p le te r e v o l u t io n s .
The d i s p e r s io n , o r w a v e le n g th d e p e n d en c e , o f th e F a ra d a y
e f f e c t h a s b e e n s tu d i e d e x te n s iv e ly i n r e g io n s f a r from a b s o r p t io n s .
I n t h i s c a s e , th e d i s p e r s io n c a n u s u a l l y b e e x p re s s e d a s a power
s e r i e s i n ^ , much a s in d e x o f r e f r a c t i o n c u rv e s a re e x p re s s e d .
The i n t e r e s t i n g c a s e o c c u rs i f th e r o t a t i o n i s m easu red n e a r
o r i n an ̂ a b s o r p t io n r e g i o n . S e v e ra l s t u d i e s o f t h i s ty p e have7
b e e n c a r r i e d o u t . R. W. Wood d e s c r ib e s s e v e r a l e x p e r im e n ts done
by Zeeman w ith sodium f la m e s . Zeeman fo u n d anom alous e f f e c t s
a t th e ed g es o f a b s o r p t io n b a n d s , b u t saw n o th in g i n th e b a n d s
th § ® s?} v es .g
R e c e n tly , S hashoua h a s a p p l i e d m odern e l e c t r o n i c m ethods to
t h e s tu d y o f th e F a ra d a y e f f e c t i n a b s o r p t io n b an d s and h a s pub
l i s h e d a num ber o f anom alous d i s p e r s io n c u r v e s . S in c e th e b u lk
o f th e work r e p o r te d i n t h i s t h e s i s c o n c e rn s t h e F a ra d a y e f f e c t i n
a b s o r p t io n b a n d s , S hashoua*s work w i l l be d i s c u s s e d i n m ore d e t a i l
i n C h a p te r I I .
Some A p p l ic a t io n s
An i n t e r e s t i n g a p p l i c a t i o n o f t h e F a ra d a y e f f e c t i s t h a t o f
m e a su r in g i n t e r s t e l l a r m a g n e tic f i e l d s . The f i e l d s in v o lv e d sire
much to o s m a ll to p ro d u c e s i g n i f i c a n t o p t i c a l r o t a t i o n s ( u n l e s s
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5
t h e l i g h t p a s s e s th ro u g h a l a r g e am ount o f i n t e r s t e l l a r d u s t o r
g a s ) , "but a t r a d i o w a v e le n g th s t h i s i s n o t t h e c a se « I n p a r t i c u l a r ,
Davies** h i s c o l l e a g u e s h av e m easu red th e o r i e n t a t i o n o f th e
p la n e o f p o l a r i z a t i o n o f l i g h t e m i t te d by s e v e r a l s t e l l a r o b j e c t s
a t w a v e le n g th s u p t o one m e te r . The f a c t t h a t one i s o b s e rv in g
F a ra d a y r o t a t i o n i s d e te rm in e d by th e in d e p e n d e n c e o f t h e - o r i e n t a
t i o n . E x t r a p o l a t i o n t o z e ro w a v e le n g th p ro d u c e s a v a lu e f o r th e
r o t a t i o n . I f one m akes some a s su m p tio n s a b o u t t h e d e n s i ty o f
i n t e r s t e l l a r d u s t and g a s , t h e s i z e o f th e m a g n e tic f i e l d i n th e
g a la x y c a n b e d e te rm in e d . The v a lu e a p p e a rs t o l i e i n th e ra n g e
o f 10“ 4 t o 10” ** g a u s s .q
H c C a rta n and B a r r a u l t r e c e n t l y d e s c r ib e d a sy s te m u s in g th e
F a ra d a y e f f e c t t o m easu re t h e m a g n e tic f i e l d s i n a p la sm a . They
s im p ly p la c e d a s m a ll g l a s s c y l i n d e r i n t h e r e g io n t o be t e s t e d
an d m easu red t h e F a ra d a y r o t a t i o n o f th e beam o f l i g h t fro m a
l a s e r . T h is m ethod a l lo w s a v e ry s m a ll p r o b e , w i th no e l e c t r i c a l
c o n n e c t io n s , t o b e u s e d .
The F a ra d a y e f f e c t may a l s o b e u s e d a s a n a id i n i t s own
m easu rem en t and i n t h e m easurem ent o f o p t i c a l r o t a t o r y d i s p e r s io n .
I f one w rap s a c o i l o f w ire a ro u n d a c y l i n d r i c a l Bample and p a s s e s
a - c th ro u g h th e w i r e , th e p la n e o f p o l a r i z a t i o n o f th e t r a n s m i t t e d
l i g h t w i l l o s c i l l a t e . By a r r a n g in g a s e rv o sy s te m t o a d j u s t th e
a n a ly z e r u n t i l t h e two e x c u r s io n s a re e q u a l , r o t a t i o n s c a n be
m e a su re d .
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CHAPTER I I
-■ THEORY
A ttem p ts to e x p la in th e F a ra d a y e f f e c t g e n e r a l ly b e g in w ith
t h e i d e a t h a t a p la n e p o la r i z e d wave may h e decom posed i n t o two
c i r c u l a r l y p o l a r i z e d waves r o t a t i n g i n o p p o s i te d i r e c t i o n s . A
l i t t l e th o u g h t w i l l c o n v in c e one t h a t i f th e r e l a t i v e p h a se d i f
f e r e n c e b e tw een th e two waves c h a n g e s , th e p la n e o f p o l a r i z a t i o n
w i l l b e changed by an amount p r o p o r t io n a l to th e change i n p h a s e .
I f one assum es t h a t th e m a g n e tic f i e l d a c t i n g on th e m o le c u le s o f
th e sam ple somehow p ro d u c e s a r e l a t i v e p h a se d i f f e r e n c e be tw een
th e two c i r c u l a r l y p o l a r i z e d com ponen ts , th e n many q u a l i t a t i v e
f e a t u r e s o f th e F a rad a y e f f e c t may b e e x p la in e d . The m echanism
t h a t a llo w s a r e l a t i v e p h ase d i f f e r e n c e to be d e v e lo p e d i s th e
Zeeman e f f e c t ; t h e r e f o r e , a l l a t te m p ts to c a l c u l a t e th e F a rad a y
r o t a t i o n b e g in h e r e .
I n te rm s o f c a l c u l a t i n g th e F a ra d a y e f f e c t q u a n t i t a t i v e l y ,
one f in d s t h a t a c o m p le te quantum m e c h a n ic a l t r e a tm e n t i s n e c e s s a r y .
T h is in c lu d e s th e d i s p e r s io n fo rm u la f o r th e in d e x o f r e f r a c t i o n
t h a t i s u s e d , s in c e m ost such fo rm u la e do n o t rem a in f i n i t e a t
th e r e g io n o f a b s o r p t io n . Such a c a l c u l a t i o n w i l l n o t be a tte m p te d
h e r e .
The f a c t t h a t some s im p le and e v e n a p p ro x im a te ly c o r r e c t
e x p re s s io n s can. be c a lc u la t e d c l a s s i c a l l y i s o f some i n t e r e s t .
B e e q u e re l ( d e s c r ib e d by P a r t i n g to n ) i n 1897 p ro p o se d such a n
e q u a t io n . He e s s e n t i a l l y assum ed th e e t h e r t o be r o t a t i n g w ith a
6
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
c o n s ta n t a n g u la r v e l o c i t y w h ich he d e te rm in e d from th e known s i z e
o f th e Zeeman e f f e c t : . H is r e s u l t i s :
& = ( c o n s t a n t ) ( d n /d ^ ) (5 )
L arm or l a t e r d e te rm in e d t h a t th e c o n s ta n t i s e q u a l to e/2m e,
and t h i s e q u a t io n , w i th an a p p r o p r i a t e d i s p e r s io n e q u a t io n f o r
d n /d > , does a p p e a r to work f a r from an a b s o r p t io n r e g io n .
Zeeman E f f e c t
The Zeeman e f f e c t i s , o f c o u r s e , t h e s p l i t t i n g o f s p e c t r a l
l i n e s i n a m a g n e tic f i e l d . The Zeeman e f f e c t o c c u rs b o th on
e m is s io n and a b s o r p t io n ; t h e l a t t e r c a s e i s som etim es c a l l e d th e
in v e r s e Zeeman, e f f e c t .
I n th e c a s e o f th e s o - c a l l e d "no rm al" Zeeman e f f e c t , a l l
s p e c t r a l l i n e s a p p e a r to be s p l i t i n t o t h r e e p la n e p o l a r i z e d com
p o n e n ts when v iew ed p e r p e n d ic u l a r to th e f i e l d and i n t o two
c i r c u l a r i s e p o l a r i z e d com ponents when v iew ed p a r a l l e l to th e f i e l d .
The no rm al Zeeman e f f e c t i s o b se rv e d e i t h e r when th e m a g n e tic f i e l d
a p p lie d to th e sam ple i s s t r o n g enough to o v e r r id e th e i n t e r n a l
a to m ic o r m o le c u la r f i e l d s o r when th e t o t a l s p in o f t h e s t a t e
i s e q u a l to z e ro . I n th e fo rm e r c a s e th e e f f e c t i s u s u a l l y c a l l e d2
th e P a sc h en -B a c k e f f e c t . The s p l i t t i n g goes a s , w here 7 \ i s
th e w a v e le n g th o f th e u n s p l i t l i n e .
I n t h e c a s e o f h ig h e r s p in s t a t e s ( w i th low enough a p p l i e d
f i e l d ) th e num ber o f l e v e l s g o e s a s j ( j +■ l ) , w here J i s t h e
t o t a l a n g u la r momentum quantum num ber, and th e p a t t e r n i s no
lo n g e r s im p le .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
8
Q u a l i t a t i v e D e te rm in a t io n s o f R o ta t io n s
A v e ry s im p le p h y s ic a l p i c t u r e ; b a s e d on th e Zeeman e f f e c t ,
w h ich a llo w s th e q u a l i t a t i v e f e a t u r e s o f F a ra d a y r o t a t i o n s p e c t r a
t o b e u n d e rs to o d was in t r o d u c e d by Zeeman and i s d i s c u s s e d i n some
d e t a i l by R. W. Wood10 ,
One b e g in s by assu m in g t h a t t h e no rm al Zeeman e f f e c t s p l i t s
an a b s o rp t io n : l i n e i n t o two com ponen ts , e a c h o f w hich a b s o rb s
c i r c u l a r l y p o l a r i z e d l i g h t o f a g iv e n d i r e c t i o n o f r o t a t i o n .
The r e s u l t w i l l be two d i s p e r s io n c u rv e s t r a n s l a t e d i n w a v e le n g th
( b e c a u s e o f th e Zeeman s p l i t t i n g ) w ith r e s p e c t to e a c h o t h e r .
F i r s t assum e t h a t th e two c u rv e s have e q u a l a m p l i tu d e , a s shown
in . F ig u r e 1 ( a ) . O u ts id e t h e a b s o r p t io n r e g io n , th e ccw compon
e n t h a s th e h ig h e r in d e x o f r e f r a c t i o n and h e n c e m oves s lo w e r .
I n s i d e th e a b s o r p t io n b and th e cw com ponent h a s th e h ig h e r in d e x
and th e s lo w e r s p e e d . T hus, a r o t a t i o n v e r s u s w a v e le n g th c u rv e
s i m i l a r to F ig u r e 1 (b ) m ig h t b e e x p e c te d .
I f , how ever, th e two c u rv e s have d i f f e r e n t a m p l i tu d e s , a s
i n F ig u re 2 ( a ) , t h e r e s u l t i n g r o t a t i o n c an ta k e th e form i n d i c a t
ed i n F ig u re 2 ( b ) . Y a r io u s c o m b in a tio n s i n b e tw e en a r e a ls o
p o s s i b l e . S p e c t r a o f th e ty p e i n F ig u re 1 (b ) w i l l b e c a l l e d
ty p e I s p e c t r a and s p e c t r a o f th e ty p e i n F ig u r e 2 (b ) w i l l be
r e fe n m d to a s ty p e I I s p e c t r a i n th e r e s t o f t h i s t h e s i s .
TJnder w hat c o n d i t io n s w ould e .eh o f th e s e ty p e s o f s p e c t r a
be e x p e c te d to o c c u r? I f one assum es t h a t e l e c t r o n s w ith s p in
up t r a n s m i t c i r c u l a r l y p o l a r i z e d l i g h t o f one o r i e n t a t i o n and
e l e c t r o n s w ith s p in down t r a n s m i t th e o th e r o r i e n t a t i o n , some
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
A TYPE I SPECTRUM
■cw
W avelength
0W avelength
•H
«
FIGURE 1
A TYPE I I SPECTRUM
W -Pyi'0 W avelength
0W avelength•rl
FIGURE 2
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
10
p r e d i c t i o n s c an be made.
D ia m a g n e tic io n s a r e c h a r a c te r iz e d by th e f a c t t h a t th e
e l e c t r o n s have no te n d e n c y to a l i g n i n an e x te r n a l m a g n e tic f i e l d .
The o r b i t a l m o tio n i s s im p ly a l t e r e d ( f o l lo w in g Lenz* s law ; i n
su c h a way a s to p ro d u ce a weak m ag n e tic moment o p p o s i te to th e '
d i r e c t i o n , o f t h e a p p l ie d f i e l d . The e le c t r o n s a r e a l l p a i r e d o f f
and rem a in t h a t way, so t h a t one m igh t e x p e c t a ty p e I sp e c tru m
i n t h i s c a s e .
On th e o th e r h an d , p a ra m a g n e tic io n s a re c h a r a c te r i z e d by
u n p a ir e d e l e c t r o n s w h ich may a l i g n i n an e x te r n a l a p p l ie d m agnet
i c f i e l d . T herm al e f f e c t s te n d to d i s a l i g n th e e l e c t r o n s p in s ,
b u t even a t room te m p e ra tu re a sm a ll p o s i t i v e m ag n e tic moment can
be o b s e rv e d . T h u s , one may e x p e c t to f in d a d i f f e r e n t num ber o f
e l e c t r o n s w ith s p in up t h a n w ith s p in down; a ty p e I I sp e c tru m
m ig h t be o b ta in e d . N o te , t h a t i f a l l t h e e l e c t r o n s ( u n p a i r e d )
a r e a l i g n e d , th e n o n ly one d i s p e r s io n c u rv e o f th e in d e x o f
r e f r a c t i o n w i l l be o b ta in e d . No anom alous d i s p e r s io n o f th e
F a ra d a y e f f e c t w i l l be o b se rv e d i n t h i s ca se*
T e m p era tu re e f f e c t s may be q u i t e im p o r ta n t i n t h e c a s e o f
p a ra m a g n e tic i o n s . The s u s c e p t i b i l i t y o f many p a ra m a g n e tic io n s
fo l lo w s What i s know nss th e C u rie -W eiss law , _i. _e. ,th e s u s c e p t
i b i l i t y i s p r o p o r t io n a l • T i s th e a b s o lu te te m p e ra tu re
and © i s a c o n s ta h t , w i th u n i t s o f te m p e ra tu re , c h a r a c t e r i s t i c ® f th e
io n . T hus, i f th e s u s c e p t i b i l i t y o f th e io n f o l lo w s a C u rie -W eiss
la w , n e a r th e c h a r a c t e r i s t i c te m p e ra tu re © th e e l e c t r o n s w i l l
b e n e a r ly a l l a l ig n e d and o n ly a s m a ll anom alous e f f e c t w i l l be
o b s e rv e d .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
11
E x p e r im e n ta l E v id en ce
8The work m en tio n e d e a r l i e r hy S hashoua c o n ta in s a num ber o f
exam ples o f p a ra m a g n e tic and d ia m a g n e tic io n s i n s o l u t i o n . He
o b ta in e d a ty p e I sp e c tru m f o r m ost d ia m a g n e tic o r g a n ic com pounds,
exam ples b e in g p h e n a z in e , a c e to n e , f lu o r e n e , e a r b a z o le and e th y l
ene t r i t h i o c a r b o n a t e . He o b ta in e d a ty p e I I sp e c tru m from p a r a
m a g n e tic compounds su c h a s f e r r i c c h lo r id e and v a r io u s c o b a l t
com pounds. N ic k e l s u l f a t e p ro d u ce d o n ly an o r d in a r y d i s p e r s i o n
c u rv e . A num ber o f compounds showed d i f f e r e n t ty p e s o f s p e c t r a
a t d i f f e r e n t a b s o r p t io n b a n d s , w hich o n ly i n d i c a t e s th e in a d e q u a c y
o f t h e m odel h e re p r e s e n te d .
L o v in g ^ o b se rv e d a num ber o f i n t e r e s t i n g e f f e c t s w ith
n i c k e l s u l f a t e . Among th e s e w ere : ( l ) a ty p e I s p e c tru m , (2 ) t h e
s i z e o f th e e f f e c t was n o t l i n e a r w i th c o n c e n t r a t io n , ( 3) no
e f f e c t a t a l l was o b se rv e d w ith v e ry low c o n c e n t r a t io n s .
12B r i a t o b se rv e d a ty p e I s p e c tru m i n CoCl^ i a aqueous
s o l u t i o n . He a l s o o b se rv e d a ty p e I I sp e c tru m i n m e th y lp r o p y l ie -
13to n e . B r i a t a l s o m easu red t h e r o t a t i o n o f th e f e r r i c y a n i d e io n
and o b ta in e d a ty p e I I sp e c tru m
V o lk e n s te in , e t . a l . ^ , o b ta in e d ty p e I s p e c t r a f o r h em o g lo b in
and m y o g lo b in a t th e lo n g w a v e le n g th (5500 -6000 A) band and ty p e
I I s p e c t r a a t th e s h o r t (4200 A) w a v e len g th b a n d . The s p e c t r a
f o r o x y g e n a te d h em o g lo b in and m y o g lo b in was t h e same., q u a l i t a t i v e l y
b u t n o t q u a n t i t a t i v e l y , i n d i c a t i n g t h a t m o le c u la r s t r u c t u r e i s o f
some im p o r ta n c e f o r d e te rm in in g th e anom alous d i s p e r s io n c u rv e
f o r th e F a ra d a y e f f e c t . No a t te m p t w i l l be made to d i s c u s s h e re
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
12
th e r e l a t i v e s i z e s o f th e r o t a t i o n s o b ta in e d , e x c e p t t o m e n tio n
t h a t , b a s e d on S h a sh o u a 1 s w ork , t h e r e do n o t a p p e a r t o b e any
d e f i n i t e p a t t e r n s .
S e l e c t io n o f Compounds to be S tu d ie d
The two m ain g ro u p s o f io n s w h ich m ig h t be o f i n t e r e s t a r e
th o s e from th e r a r e e a r t h g roup and t h e i r o n g ro u p , A t a b l e
15su c h a s t h a t fo rm in g F ig u r e 3 , re p ro d u c e d from M o rr is h , i s
h e l p f u l . T h is t a b l e i s e s s e n t i a l l y a l i s t i n g o f t h e i r o n g ro u p
i o n s by m a g n e tic moment, w i th th e i o n h a v in g th e l a r g e s t m ag n e tic
moment b e in g l i s t e d i n t h e c e n te r o f th e t a b l e . One w ould p ro b a b
l y w ant t o m easu re t h e s p e c t r a o f io n s r e p r e s e n t i n g a l l s e c t i o n s
o f t h e t a b l e .
F in d in g a s u i t a b l e d ia m a g n e tic compound i s d i f f i c u l t s in c e
t h e l a c k o f u n p a ir e d e l e c t r o n s u s u a l l y means t h a t a b s o r p t io n does
n o t o c c u r u n t i l th e f a r u l t r a v i o l e t p o r t i o n o f th e s p e c tru m .
P o ta s s iu m i o d id e , h o w ev er, a b s o rb s a t a b o u t 3600 A and h ence
m ig h t b e a s u i t a b l e r e p r e s e n t a t i v e o f th e d ia m a g n e tic io n s l i s t e d
i n F ig u re 3 ,
N ic k e l s u l f a t e w ould b e i n t e r e s t i n g b e c a u s e , i f S h ash o u a1s
m easu rem en ts a r e c o r r e c t , t h i s compound d o e s n o t f i t i n t o th e
s im p le p i c t u r e p r e s e n te d ab o v e ,
C u p ric s u l f a t e m ig h t a l s o b e a good m o le c u le t o t r y s in c e i t- . - jt2 4 2
a b s o rb s i n th e v i s i b l e . A ls o , SuT l i e s n e a r Ni i n F ig u r e , 3»*
F e r r i c c h l o r i d e l i e s i n th e c e n t e r o f th e t a b l e and shows
l a r g e r o t a t i o n s . I t w ould a l s o b e a good compound to t r y .
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LIST OF IRON GROUP IONS
ION
K+ r Ca34 D ia m ag n e tic
T i3 4 , V4* 1 .7
7 34 2 .8
V2* , Cr3 4 , Kn44 3 .8
C r2+, Mn34 4 .9
Mn2\ F e 3+ 5 .9
F e 2+ 5 .4
Co24 4 .8
N i24 3 .2
Cu2+ 1 .9
Cu4 , Zn24 D ia m a g n e tic
FIGURE 3
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
CHAPTER I I I
EXPERIMENTAL METHODS
I n t h i s s e c t i o n , a v a r i e t y o f m ethods f o r s tu d y in g th e F a ra d a y
e f f e c t w i l l "be o u t l i n e d . C e r ta in ones w i l l h e exam ined i n c l o s e r
d e t a i l , e s p e c i a l l y w ith r e g a r d t o e x p e r im e n ta l u n c e r t a i n t y and
s e n s i t i v i t y .
The s tu d y o f th e F a ra d a y e f f e c t h as p r o f i t e d from th e c o n s id
e r a b le te c h n o lo g y d e v e lo p e d f o r th e s tu d y o f o p t i c a l r o t a t o r y d i s
p e r s io n ( ord) .
N o n - e le e tr o n ic M ethods
T h ere a r e a num ber o f n o n - e l e c t r o n ic m ethods a v a i l a b l e . The
ones d e v e lo p e d s p e c i f i c a l l y f o r th e s tu d y o f ORD a re d e s c r ib e d i n
Lowry^.The m ost s t r a ig h t f o r w a r d , o f c o u r s e , i s t h a t p i c t u r e d i n
F ig u re 4 . One b e g in s w ith th e p o l a r i z e r and a n a ly z e r c r o s s e d ,
tu r n s on th e f i e l d , and th e n r o t a t e s th e a n a ly z e r f o r e x t i n c t i o n .
T h is m ethod s u f f e r s from a num ber o f d is a d v a n ta g e s , th e m ain ones
b e in g ( l ) th e ra n g e o f w a v e le n g th s w hich c an b e s tu d i e d i s l im i t e d
t o th e re s p o n s e o f th e human eye and ( 2) t h e s e n s i t i v i t y i s low
b e c a u se e s t im a t in g th e p o in t o f e x t i n c t i o n to b e t t e r th a n a few
t e n t h s o f a d e g re e i s q u i t e d i f f i c u l t .
The n e x t s te p i n th e im provem ent o f th e s im p le v i s u a l sy stem
i s th e h a l f - s h a d e sy s te m . I n t h i s c a s e , th e p o l a r i z e r i s made i n
14
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tw o s e c t io n s w hich a r e r o t a t e d s l i g h t l y w ith r e s p e c t to e a ch o t h e r
When lo o k in g th ro u g h th e a n a ly z e r , one s e e s a p a t t e r n s i m i l a r to
t h a t o f F ig u re 5 . The a n a ly z e r i s a d ju s t e d i n i t i a l l y f o r e q u a l
i n t e n s i t i e s i n e a ch h a l f o f t h e f i e l d o f v iew . The f i e l d i s
tu rn e d on and th e a n a ly z e r r e ,a d ju s te d f o r e q u a l i n t e n s i t i e s . Be
c a u s e th e ey e c an m atch th e i n t e n s i t i e s o f two f i e l d s o f v iew
moie e a s i l y th a n i t c a n l o c a t e a minimum, t h i s m ethod i s s e n s i t i v e
17to n e a r ly 0 .003 d e g re e . S e n s i t i v i t y o f t h i s o r d e r c an he
a c h ie v e d o n ly hy a v e ry good o b s e rv e r u n d e r th e b e s t p o s s ib l e
c o n d i t io n s .
O c c a s io n a l ly th e f i e l d o f v iew i s d iv id e d i n t o t h r e e s e c t i o n s
b u t t h i s seem s to o f f e r l i t t l e a d v a n ta g e o v e r th e h a l f - s h a d e
sy s te m .
The p r im a ry im p o rta n c e o f th e h a l f sh a d e sy s tem to th e p r e
s e n t work i s th e f a c t t h a t i t c a n be e a s i l y a d a p te d to p h o to
e l e c t r i c i n s t r u m e n ta t io n . T h is w i l l be d i s c u s s e d i n th e n e x t
s e c t i o n .
S e v e ra l i n t e r f e r o m e t r i c sy s te m s w ere d e v e lo p e d i n th e e a r l y
18p a r t o f t h i s c e n tu ry . Of p a r t i c u l a r im p o r ta n c e i s th e S a v a r t
19P l a t e . I n t h i s c a s e , th e p o l a r i z e r i s a d ju s t e d i n su c h a
m anner t h a t th e i n t e r f e r e n c e f r i n g e s d i s a p p e a r from t h e c e n t e r o f
th e f i e l d o f v iew . The m a g n e tic f i e l d i s t u r n e d on and th e
p o l a r i z e r r o t a t e d u n t i l th e f r i n g e s a g a in d i s a p p e a r . T h is m ethod
may d e t e c t r o t a t i o n s a s sm a ll a s 0 .0 1 d e g re e .
The w a v e len g th l i m i t a t i o n s o f th e human eye c a n o f t e n be
overcom e by th e u s e o f p h o to g ra p h ic te c h n iq u e s . E m u ls io n s a r e
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
A METHOD OF STUDYING THE FARADAY EFFECT
- - B - -Lamp P o l a r i z e r
— 0—A n a ly zer
-«>Eye
Magnet
FIGURE k
FIELD OF VIEW WITH A HALF-SHADE POLARIZER
FIGURE 5
USE OF THE SAVART PLATE
&Lamp
f l -P o l a r i z e r
Magnet
FIGURE 6
B -0-----^S a v a r t A n a ly zer Eye P l a te
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
a v a i l a b l e f o r work from th e u l t r a v i o l e t to th e i n f r a r e d , b u t one
i s u s u a l l y f a c e d w ith th e n e c e s s i ty o f a n a ly z in g th e r e s u l t a n t
p l a t e w i th some s o r t o f m ic ro p h o to m e te r o r d e n s i to m e te r and t h i s
c a n n o t o f t e n be done w ith ex trem e a c c u ra c y .20
The h a l f - s h a d e m ethod h a s b e e n e x te n d e d t o p h o to g ra p h y
w ith e x c e l l e n t r e s u l t s — e x p e r im e n ta l e r r o r s on th e o r d e r o f 0 .0 2
d e g re e have b e e n re -p o r te d . I n t h i s c a s e one i s r e a l l y m e a su r in g
w a v e le n g th a s a f u n c t io n o f r o t a t i o n , r a t h e r th a n v i c e - v e r s a ,
s in c e one e s s e n t i a l l y lo o k s f o r s p e c t r a l l i n e s w hich have th e
same i n t e n s i t y i n b o th h a lv e s o f th e f i e l d o f v iew ( a s re c o rd e d
on a p h o to g ra p h ic p l a t e ) .
A n o th e r p h o to g ra p h ic m ethod was d e v e lo p e d by L o v in g 1 1 . A
s e r i e s o f p h o to g ra p h ic s p e c t r a o f a c o n tin u o u s l i g h t s o u rc e a re
made f o r d i f f e r e n t a n a ly z e r p o s i t i o n s . The a n a ly z e r i s th e n
r e tu r n e d to th e z e ro p o s i t i o n and a n e x p o su re made w ith th e mag
n e t i c f i e l d on . The p l a t e b la c k e n in g a t a g iv e n w a v e le n g th w ith
t h e f i e l d on i s com pared w ith th e r e f e r e n c e s p e c t r a u n t i l one
w i th t h e same b la c k e n in g i s fo u n d . The p o s i t i o n o f th e a n a ly z e r
f o r t h a t p a r t i c u l a r r e f e r e n c e sp e c tru m g iv e s th e r o t a t i o n f o r
t h a t w a v e le n g th . I n p r a c t i c e , t h i s m ethod h a s b e e n a c c u r a te to
a b o u t 0 .5 d e g re e .
I n summary one c o u ld say t h a t p h o to g ra p h ic m e th o d s , i f p e r
fo rm ed w ith s u f f i c i e n t c a r e , can y i e ld v e ry good r e s u l t s . The
m ain d is a d v a n ta g e s p ro b a b ly a r e th e lo n g ex p o su re t im e s and th e
tim e r e q u i r e d i n a n a ly z in g th e p l a t e . I f p o s s ib l e , one would
l i k e t o be a b le to u s e a m ethod w hich g iv e s th e r o t a t i o n d i r e c t l y ,
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
18
r a t h e r th a n as th e r e s u l t o f a s e r i e s o f in te r m e d ia t e s t e p s .
E l e c t r o n i c M ethods
The s im p le s t p h o t o e l e c t r i c p o l a r im e te r w ould c o n s i s t o f
r e p l a c i n g th e eye in . F ig u re 4 w ith an a p p r o p r ia t e p h o to tu b e . The
w a v e le n g th l i m i t a t i o n e x i s t i n g b e f o r e i s now rem oved, and th e
s e n s i t i v i t y ca n b e in c r e a s e d a lm o s t a t w i l l . H ow ever, s e v e r a l
o th e r p ro b le m s a r i s e . One p rob lem i s th e f a c t t h a t t h e i n t e n s i t y
o f th e l i g h t t r a n s m i t t e d a t e x t i n c t i o n c a n n o t be re d u c e d t o z e ro
b e c a u s e , f o r exam ple, th e l i g h t i n c i d e n t on th e a n a ly z e r may n o t
b e c o m p le te ly p la n e p o l a r i z e d . A n o th e r p o s s i b i l i t y i s t h a t some
l i g h t may b e s c a t t e r e d from th e o p t i c a l s u r f a c e s i n th e s y s te m .
I n any c a s e , l o c a t i o n o f th e minimum i s n o t e a s y .
As m en tio n e d e a r l i e r , th e h a l f - s h a d e sy stem may b e a d a p te d to
p h o t o e l e c t r i c i n s t r u m e n ta t io n . T h is may be a c c o m p lish e d by a llo w
in g th e l i g h t from e a c h h a l f o f th e f i e l d o f v iew to f a l l on a
p h o to tu b e . Then a t b a la n c e , th e o u tp u ts o f th e two p h o to tu b e s w i l l
be e q u a l and chan g es i n th e i n t e n s i t y o f th e s o u rc e w i l l n o t
have undue e f f e c t s . A more p r a c t i c a l ap p ro a c h i s to a l lo w l i g h t
from e a ch h a l f o f th e f i e l d o f v iew t o f a l l a l t e r n a t e l y on th e
same p h o to tu b e . I n t h i s c a s e t h e r e w i l l be no a - c o u tp u t when
21th e sy s tem i s b a la n c e d . U s in g an a - c a p p ro a c h , Levy c o n s t r u c te d
am a u to m a tic a n g le m e a su r in g sy s te m f o r ORs work h a v in g a s e n
s i t i v i t y o f ab o u t 0 .0 0 5 d e g re e .
The s im p le p h o t o e l e c t r i c sy s tem d e s c r ib e d a t th e b e g in n in g
o f t h i s s e c t i o n can b e im proved c o n s id e r a b ly by th e a d d i t i o n o f
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19
an o s c i l l a t i n g p o l a r i z e r . The i d e a b e h in d t h i s a r ra n g e m e n t i s
t h a t one c a n l o c a t e two p o i n t s on e i t h e r s id e o f th e minimum
w here th e i n t e n s i t i e s a r e e q u a l , and th e n p o s t u l a t e t h a t t h e a c t u a l
e x t i n c t i o n p o i n t l i e s h a lfw a y i n b e tw e e n . T h u s , t h e a n a ly z e r i s
s im p ly r o t a t e d u n t i l t h e o u tp u t v o l ta g e s a t th e two e x tre m e s o f
p o l a r i z e r m o tio n a r e e q u a l . S h a s h o u a 's m ethod u s e d an o s c i l l a t i n g
p o l a r i z e r ; s e n s i t i v i t y i n th e ra n g e from 0 .0 0 1 t o 0 .0 0 5 d e g re e
was o b ta in e d .
The n e x t o b v io u s s te p i s t o r e p l a c e th e m e c h a n ic a l ly o s c i l
l a t i n g p o l a r i z e r w i th a F a ra d a y c e l l , a s m en tio n e d e a r l i e r .
22S h a s h o u a 's seco n d sy s tem u s e s t h i s schem e and s e n s i t i v i t i e s c lo se s
t o 0 ,0 0 1 d e g re e h a v e b e e n r e p o r t e d by h im . He a l s o em ployed a n
in g e n io u s m ethod to s u b t r a c t o u t th e s o lv e n t r o t a t i o n , w h ich c o n
t r i b u t e s to th e low e r r o r . S in c e t h i s p ro b le m i s common t o a l l
m ethods o f m e a s u r in g th e F a ra d a y e f f e c t , i t w i l l b e d i s c u s s e d i n
C h a p te r V I I .
I n m aking any s o r t o f c o m p a riso n m ea su rem e n ts , one m ust
a lw a y s c o n s id e r d o u b le beam m ethods su c h a s th o s e t h a t h a v e b e e n
h ig h ly d e v e lo p e d f o r i n c o r p o r a t io n i n t o s p e c t r o p h o to m e te r s y s te m s .
S uch a sy s te m c an b e a d a p te d to th e s tu d y o f th e F a ra d a y e f f e c t ,
b u t few su c h sy s te m s a r e d e s c r ib e d i n th e l i t e r a t u r e . Two a r e
m en tio n e d b r i e f l y i n A p p lie d O p t i c s , 6 , 668 ( 1 9 6 7 ) . I n one c a s e ,
t h e r e l a t i v e p h a s e s o f th e two s i g n a l s a r e com pared . A r o t a t i n g
p o l a r i z e r i s u s e d . I n th e o t h e r , th e i n t e n s i t i e s o f t h e tw o
beam s a r e com pared w ith th e f i e l d on and o f f . A f ix e d p o l a r i z e r
and a n a ly z e r a rra n g e m e n t i s u se d and s ig n a l o u tp u t i s p r o p o r t i o n a l
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20
t o t h e d i f f e r e n c e i n i n t e n s i t y b e tw een th e two beam s. I f
e x tr a n e o u s e f f e c t s h av e been e l im in a te d t h i s s ig n a l w i l l b e p ro
p o r t i o n a l to th e r o t a t i o n .
T h is l a s t m ethod i s e s s e n t i a l l y th e one c h o sen f o r t h i s s tu d y .
The p r im a ry r e a s o n was th e a p p a re n t l a c k o f work w ith t h i s ty p e
o f in s t r u m e n t , w h ich one would e x p e c t to be c a p a b le o f r e a s o n a b ly
h ig h s e n s i t i v i t y . The sy stem to be d e s c r ib e d i n more d e t a i l l a t e r
i s diagram m ed i n F ig u r e 7 . L ig h t from a c o n tin u o u s s o u rc e i s
p a s s e d th ro u g h a m onochrom ator and th e r e s u l t i n g l i g h t c o l l im a te d
by l e n s L . Upon p a s s in g th ro u g h th e p o l a r i z e r , th e beam i s a l
t e r n a t e l y a llo w e d to p a s s th ro u g h th e sam ple and a ro u n d i t . The
beam s a r e com bined a t th e p h o to tu b e , w here an a -c s ig n a l w hich
d epends on th e d i f f e r e n c e i n i n t e n s i t y o f th e two beams i s ob
t a i n e d . A d -c com ponent w h ich e s s e n t i a l l y m easu res th e t o t a l
l i g h t l e v e l i s a l s o o b ta in e d . I n o p e r a t io n , th e a n a ly z e r i s
f i r s t a d ju s t e d t o o b ta in z e ro a -c o u tp u t . The m a g n e tic f i e l d i s
tu rn e d on and th e a n a ly z e r r e a d j u s t e d f o r b a la n c e . The r o t a t i o n
may th e n be d e te rm in e d from th e c a l i b r a t e d a n a ly z e r s c a l e .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
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CHAPTER I ?
DESIGN CONSIDERATIONS
One o f t h e c r i t i c a l p o in t s to be k e p t i n m ind when d e s ig n in g
a sy s te m s i m i l a r to t h a t o f F ig u r e 7 i s t h a t a n y th in g w h ich
ch a n g es th e r e l a t i v e i n t e n s i t y o f th e two beams w i l l show up i n
th e d a t a a s a r o t a t i o n . I n f a c t , a n y th in g i n th e a m p l i f i e r w hich
i n d i c a t e s th e p r e s e n c e o f a s ig n a l when t h e r e sh o u ld n o t be one
w i l l show up a s a r o t a t i o n .
T h is l e a d s one d i r e c t l y to th e c h o ic e o f a -c f o r th e s ig n a l
to be m e a su re d . A d -c sy s tem w ould r e q u i r e two p h o to tu b e s , each
o p e r a t in g i n t o one s id e o f a d i f f e r e n c e a m p l i f i e r . The d i f f e r e n c e
would t h e n b e fo llo w e d by s e v e r a l s ta g e s o f d -c a m p l i f i c a t i o n to
d r iv e a m e te r o f some s o r t . Any te n d e n c y o f t h e d -c a m p l i f i e r s
to d r i f t w ould show up a s a change i n th e r e l a t i v e i n t e n s i t i e s o f
th e two beam s. D i r e c t co u p led a m p l i f i e r s a re p ro n e to d r i f t i n g
b e c a u se th e y a m p lify d -c and d -c i s u s e d t o o p e r a te th em . T hus,
any change i n t h e pow er su p p ly v o l ta g e s w i l l show up a s an o u tp u t
s i g n a l . A d -c a m p l i f i e r c a n be s t a b l i z e d , b u t i t c a n n o t b e done
i n a s im p le m anner.
Changes i n th e pow er s u p p ly v o l ta g e s o f a n a -c a m p l i f i e r w i l l
change i t s g a in som ew hat, b u t w i l l n o t c o n t r i b u t e a n y th in g t o th e
o u tp u t s i g n a l .
I n s e l e c t i n g a ch o p p in g f re q u e n c y , 60 and 120 Hz s h o u ld be
a v o id e d s in c e th e s e f r e q u e n c ie s a r e p r e s e n t i n a l l pow er l i n e
o p e ra te d equ ipm en t t o some e x t e n t . A f re q u e n c y o f a b o u t 100 Hz i s
22
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
s a t i s f a c t o r y , s in c e i t l i e s ab o u t h a l f way b e tw e en 60 and 120 Hz.
T h e re a r e s e v e r a l m ethods o f d e t e c t i n g th e a - c o u tp u t s i g n a l .
S t r a ig h t f o r w a r d a m p l i f i c a t i o n and r e c t i f i c a t i o n i s o b v io u s ly n o t
s a t i s f a c t o r y a t low s i g n a l l e v e l s b e c a u s e o f n o i s e from v a r io u s
s o u rc e s and 60 and 120 Hz hum from th e pow er s u p p l i e s . C le a r ly ,
th e s ig n a l to n o i s e r a t i o c a n be im proved by r e d u c in g th e band
w id th s in c e n o i s e i s d i s t r i b u t e d a p p ro x im a te ly u n ifo rm ly th ro u g h
o u t th e f re q u e n c y s p e c tru m , b u t th e s ig n a l i s n o t . T h e re a re a t
l e a s t two ways o f r e d u c in g th e b a n d w ith . One i s th e u s e o f a
tu n e d a m p l i f i e r , made so t h a t th e t u n in g i s r e l a t i v e l y s h a r p ,
fo llo w e d by a r e c t i f i e r and a d -c m e te r .
The seco n d m ethod i s c a l l e d p h a se s e n s i t i v e d e t e c t i o n . I n
t h i s c a s e th e m e te r i s s w itc h e d b a c k and f o r t h a c r o s s th e o u tp u t
o f th e a m p l i f i e r a t t h e same r a t e th e l i g h t i s b e in g ch o p p ed .
T h is c a n be done e i t h e r by m e c h a n ic a l c o n ta c t s on th e ch o p p e r
s h a f t , o r by an a u x i l i a r y l i g h t beam bounced o f f th e c h o p p e r .
T h is beam w ould th e n , by way o f some p h o t o c e l l s , s w itc h vacuum
tu b e s o r t r a n s i s t o r s on and o f f to a c c o m p lis h t h e r e c t i f i c a t i o n .
I n g e n e r a l , t h e b a n d w id th : fo r t h i s ty p e o f sy s te m c o u ld b e as
sm a ll a s 1 o r 2 H z, a s com pared to 5 o r 6 Hz w i th a r e l a t i v e l y
s im p le tu n e d a m p l i f i e r , a t a s ig n a l f r e q u e n c y o f 100 H z. A p h a se
s e n s i t i v e d e t e c t o r was t r i e d b r i e f l y , b u t p ro v e d to b e h a rd to
a d ju s t and d id n o t p r o v id e s u f f i c i e n t l y im proved p e rfo rm a n c e to
w a r ra n t i t s u s e . I f t h e s ig n a l l e v e l s i n t h i s e x p e rim e n t were
a n o th e r o r d e r o f m ag n itu d e lo w e r , o r a b e t t e r m agnet a v a i l a b l e ,
t h i s p ro b a b ly w ould n o t b e t r u e .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
T h ere i s a t h i r d m ethod o f im p ro v in g th e s ig n a l to n o i s e
r a t i o w hich h a s become im p o r ta n t i n r e c e n t y e a r s . T h is i s th e
te c h n iq u e o f a u t o c o r r e l a t i o n . I n e s s e n c e , th e in co m in g s ig n a l i s
p h a se s h i f t e d and com pared w ith th e u n p h a s e s h i f t e d s i g n a l . I f
th e s ig n a l i s p e r i o d i c , th e s h i f t e d and u n s h i f t e d v e r s io n s w i l l be
c o r r e l a t e d , and th e i n t e g r a l o f th e p ro d u c t o f th e tw o , w h ich i s
23w hat i s m e a su re d , w i l l n o t be z e ro . The n o i s e i s n o t p e r io d i c
and w i l l n o t be c o r r e l a t e d . T h is m ethod was n o t t r i e d , b u t i s
m en tio n ed to i n d i c a t e a n o th e r a v a i l a b l e te c h n iq u e .
The n e c e s s i t y o f haeving a c h o p p e r i n an a - c sy s tem i s
a c t u a l l y an a d v a n ta g e . I f a d -c sy s te m w ere u s e d , a beam s p l i t t e r
w ould be n e c e s s a ry * b u t t h i s m eans t h a t p a r t o f th e beam w ould be
a b so rb e d h e r e , l e a v in g l e s s l i g h t a v a i l a b l e f o r th e e x p e r im e n t .
The c h o p p e r was p la c e d b e f o r e th e sam ple so t h a t th e beam n e e d
n o t p a s s th ro u g h any m a t e r i a l o th e r th a n th e sam p le .
I n c o n s id e r in g th e p h y s ic a l a rra n g e m e n t o f th e sam ple and
r e f e r e n c e beams th e f a c t t h a t th e i n t e n s i t y o f l i g h t r e f l e c t e d
from a m e ta l depends on th e a n g le o f in c id e n c e , w a v e le n g th and
p la n e o f p o l a r i z a t i o n s h o u ld b e c o n s id e r e d . T hus, m ir r o r s
sh o u ld n o t b e p la c e d b e tw e en th e sam ple and th e a n a ly z e r s in c e
th e p la n e o f p o l a r i z a t i o n i s c h a n g in g i n t h i s r e g io n . F o r th e
same r e a s o n , m ir r o r s s h o u ld n o t be p la c e d b e tw e en th e a n a ly z e r
and p h o to tu b e . M ir r o r s c a n be p la c e d i n th e r e f e r e n c e beam
b e c a u s e i t i s n o t a f f e c t e d by th e m a g n e tic f i e l d . I n any c a s e ,
th e m ost s im p le and e le g a n t a rra n g e m e n t i s t h a t o f a l lo w in g th e
sam ple beam to p a s s s t r a i g h t th ro u g h th e sy s tem and h a v in g th e
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
r e f e r e n c e beam b e n t a ro u n d . Only i n th e c a se o f a u to m a tic o p e r
a t i o n do th e beams have t o t r a v e r s e e q u iv a le n t p a th s .
T here a r e a num ber o f f a c t o r s w hich in f lu e n c e th e s e n s i t i v i t y
o f th e in s t r u m e n t . F i r s t th e p ro b le m o f a n a ly z e r p o s i t i o n w i l l
b e c o n s id e r e d . The i n t e n s i t y o f l i g h t t r a n s m i t t e d by a p o l a r i z e d
and a n a ly z e r o r ie n te d a t an a n g le ^ w i th r e s p e c t to each o th e r
i s g iv e n by
I z A c o s 2© (5 )
T a k in g th e d e r i v a t i v e y i e l d s
- d l - 2A cos © s i n © d© ( 4)
so th e f r a c t i o n a l change i n i n t e n s i t y f o r a change i n a n g le d© i s
2 ta n © d© (5 )
T hus, th e a n a ly z e r p o s i t i o n w hich g iv e s th e m ost s e n s i t i v i t y i s
90 d e g r e e s , 1 . _e., p o l a r i z e r and a n a ly z e r c r o s s e d . H ow ever, a t
t h i s p o i n t z e ro t o t a l amount o f l i g h t i s a v a i l a b l e t o make th e
m easu rem en t. T hus, one sh o u ld u s e th e l a r g e s t © w hich w i l l a llo w
enough l i g h t to p a s s to make th e m easu rem en t. One i s te m p te d to
d e f in e a f i g u r e o f m e r i t i n some f a s h i o n and a t te m p t t o e s t im a te
th e m ost e f f i c i e n t v a lu e o f 9 f o r a g iv e n p h o to tu b e , l i g h t s o u rc e
and a m p l i f i e r , b u t i n p r a c t i c e © c an e a s i l y be d e te rm in e d
e m p i r i c a l l y . H ost o f th e m easu rem en ts i n t h i s s tu d y w ere made
a t a © o f 80 d e g re e s .
The n o is e l e v e l o f th e d e te c t i o n sy s tem i s , o f c o u r s e , q u i te
im p o r ta n t . S e le c te d low n o is e tu b e s w ere u s e d i n th e a m p l i f i e r
and w irew ound o r d e p o s i te d c a rb o n r e s i s t o r s w ere u s e d i n th e in p u t
s t a g e s . I n p r i n c i p l e , n o is e c an be re d u c e d by u s in g a c a sc o d e
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26
( u s in g one tu b e as t h e lo a d f o r a n o th e r ) c o n f i g u r a t io n f o r th e i n
p u t s t a g e , b u t some p r e v io u s work by th e a u th o r i n d i c a t e d t h a t
th e a d v a n ta g e s would p ro b a b ly be m a rg in a l .
S t r a y l i g h t e n t e r in g th e p h o t o m u l t i p l i e r h o u s in g c a n c o n t r i
b u te c o n s id e r a b ly to th e g e n e ra l n o is e l e v e l . F o r t h i s r e a s o n
th e l i g h t p a th s l e a d in g d i r e c t l y i n t o th e h o u s in g sh o u ld b e c o v e r
ed w ith b la c k p a p e r and th e h o u s in g p a in te d f l a t b la c k i n s i d e .
The m ir r o r s i n th e r e f e r e n c e beam p a th and th e o p t i c a l com ponents
i n th e sam ple beam p a th a c t a s c o l l i m a t o r s , so t h a t s h i e l d i n g o f
th e e n t i r e l i g h t p a th s i s n o t n e c e s s a r y . N o ise a l s o a r i s e s i n
th e p h o to m u l t i p l i e r i t s e l f due to random th e rm io n ic e m is s io n .
T h is c a n be re d u c e d c o n s id e r a b ly by c o o l in g th e p h o t o m u l t i p l i e r ,
b u t was n o t a t te m p te d .
F a c to r s w hich c a n a f f e c t b o th th e s e n s i t i v i t y and th e a c c u r
acy a r e th e r e l a t e d ones o f sam ple c e l l l e n g t h and c o n c e n t r a t io n .
The F a ra d a y e f f e c t i s p r o p o r t io n a l to b o th c e l l l e n g th and con
c e n t r a t i o n . H ere one i s f a c e d a g a in w i th t h e s i t u a t i o n t h a t
i n c r e a s e d r o t a t i o n m eans d e c re a s e d l i g h t . H ow ever, t h e r e i s an
a d d i t i o n a l f a c t o r . M ost s u b s ta n c e s w i l l b e m easu red i n s o lu t i o n
and th e r o t a t i o n due to th e s o l u t e i s a l l t h a t i s r e a l l y o f i n
t e r e s t ( u n l e s s s o l u t e — s o lv e n t i n t e r a c t i o n s a r e b e in g s t u d i e d ) .
I t c an be seen , t h a t a s th e c o n c e n t 'r a 't io n becom es h ig h e r , th e p e r
c e n ta g e o f th e t o t a l r o t a t i o n w hich i s due to th e s o l u t e becom es
l a r g e r . S o , i f th e c e l l le n g th i s s h o r te n e d and th e c o n c e n t r a t io n
in c r e a s e d su c h t h a t th e r o t a t i o n and a b s o r p t io n rem a in th e same^
a l a r g e r e f f e c t w i l l be o b s e rv e d . T h is i n e f f e c t i n c r e a s e s th e
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
s e n s i t i v i t y . 1 .0 mm, 1 .0 cm, and 5 .0 cm c e l l s w ere a v a i l a b l e . The
1 .0 cm c e l l was dam aged, a l lo w in g r u s t t o fo rm . S in c e c le a n in g
th e c e l l w ould n o t p r e v e n t r u s t from r e f o r m in g , t h i s c e l l was
n o t u s e d .
The p r e s e n c e o f n on -m onoch rom atic l i g h t c a n in f lu e n c e th e
a c c u ra c y o f t h e r e s u l t s . I f s e v e r a l w a v e le n g th s a r e p r e s e n t ,
t h e m easu red r o t a t i o n w i l l be some s o r t o f a sum o f th e r o t a t i o n s
f o r th e i n d iv i d u a l w a v e le n g th s . What i s s u r p r i s i n g i s th e l a r g e
8e f f e c t a s m a ll amount o f s t r a y l i g h t c a n h a v e . S hashoua r e
p o r te d t h a t s t r a y l i g h t i n th e am ount o f 0 .1 t o 1 .0 p e r c e n t can
c a u se r e p r o d u c ib le e r r o r s o f 10 t o 100 p e r c e n t . F o r t h i s r e a s o n ,
c o n s id e r a b le p r e c a u t io n s w ere ta k e n t o i n s u r e r e a s o n a b ly p u re
l i g h t .
S in c e th e u n i t i s in te n d e d t o o p e r a te to 3000 A, a few
comm ents on o p t i c a l m a t e r i a l s and s e l e c t i o n o f p h o to tu b e s and
l i g h t s o u r c e s a r e p a r t i c u l a r l y n e c e s s a r y .
G la s s c a n n o t b e u s e d much b e lo w 4000 A, A l l th e co m m erc ia l
eq u ip m en t u s e d f o r t h i s in s t r u m e n t c o n ta in s q u a r t z o r fu se d
s i l i c a ’ o p t i c s ; th e t r a n s m is s io n o f g l a s s i s n o t a p ro b le m .
S in c e fu s e d s i l i c a i s an am orph ic v e r s io n o f q u a r t z w ith th e
a d v a n ta g e t h a t i t i s n o t d o u b ly r e f r a c t i n g , i t i s u s e d f o r
c e l l windows and some o th e r co m p o n en ts .
M easu rem en ts o f t h i s ty p e r e q u i r e a n e a r ly c o n tin u o u s l i g h t
s o u r c e . A x enon com pact a r c c a n be u s e d b e c a u s e i t i s a h ig h
i n t e n s i t y c o n tin u o u s l i g h t s o u r c e . A num ber o f o t h e r s o u rc e s
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
28
m ig h t p e rh a p s h e b e t t e r , such a s a h ig h p r e s s u r e h y d ro g en o r
m ercu ry lam p . A z irc o n iu m p o i n t s o u rc e can. be u se d f o r work i n
t h e v i s i b l e p o r t i o n o f th e sp e c tru m .
An e x a m in a tio n o f th e s p e c t r a l re s p o n s e c u rv e s o f a v a i l a b l e
p h o t o m u l t i p l i e r s p ro d u c e d s e v e r a l w hich would b e u s e f u l . The
RCA 7200 i s p ro b a b ly one o f th e b e s t , b u t h a s th e d is a d v a n ta g e o f
h ig h c o s t . The RCA 1P28 u se d i s a s ta n d a r d UV p h o to m u l t i p l i e r
tu b e , commonly a v a i l a b l e a t low c o s t .
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CHAPTER V
INSTRUMENTAL DETAILS
The m ethod c h o se n , a s i n d i c a t e d e a r l i e r , i s b a se d on a d o u b le
beam a p p ro a c h . The g e n e ra l a rra n g e m e n t i s i n d i c a t e d i n F ig u re 8 ,
and p h o to g ra p h s i n F ig u re 9 . The d e s c r i p t i o n o f th e a p p a ra tu s
w i l l p ro c e e d from l e f t t o r i g h t i n F ig u re 8 .
L ig h t S o u rce
Two p r im a ry l i g h t s o u rc e s w ere t r i e d — a 1 5 0 -w a tt xenon
com pact a rc and a 5 0 0 -w a tt z irc o n iu m p o in t s o u r c e . A d -c c a rb o n
a r e was t r i e d b r i e f l y , b u t i t p ro v ed to be much to o u n s ta b l e f o r
u s e i n t h i s e x p e r im e n t.
The xenon com pact a r e i s th e s o u rc e u s e d f o r th e m a jo r i ty o f
th e work r e p o r t e d h e r e . The lam p u s e d i s a H an o v ia 901C-1 w hich
o p e r a te s on 8 .5 amps d - c . The e x i s t i n g R udolph 914 pow er su p p ly
( d e s ig n e d f o r a -c o p e r a t i o n .o f th e 510C-1 lam p) h a s b e e n m o d if ie d
to a llo w d -c o p e r a t io n . The o r i g i n a l s t a r t i n g c i r c u i t h a s b e e n
r e t a i n e d , and th e lamp c o n n e c t io n s b ro u g h t o u t on th e s id e o f th e
c a s e to a llo w c o n n e c t io n to a d -c m o to r g e n e r a to r s e t . The
m o d if ie d c i r c u i t d iag ram i s shown i n A ppendix A. The lamp h ous
in g h as b e e n u se d w ith o u t c h a n g e . An im p o r ta n t p o in t to c o n s id e r
i n a l i g n in g th e lamp w ith th e r e s t o f th e equ ipm en t i s th e f a c t
t h a t m ost o f th e l i g h t o u tp u t i s c e n te r e d on th e c a th o d e . F o r
t h i s r e a s o n , th e c e n t e r o f th e a r c sh o u ld n o t b e a l ig n e d on th e
e n tr a n c e s l i t o f th e sy s te m . The g e n e ra l a l ig n m e n t p ro c e d u re i s
29
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
XenonLamp
BLOCK DIAGRAM OF INSTRUMENT AS CONSTRUCTED
Z------------------------------ ^
P o la r i z e r -
0- — 0 -
Durrum J a r r e l l - A s hM onochromator M onochromator
---------------
FIGURE 8
------------- d H
Chopper and
M otor Magnet
-Photom ult ip H e r H ousing
CathodeF o llo w e r
TunedA m p lif ie r
O s c illo s c o p e M eter
uoo
EQUIPMENT PHOTOGRAPHS
A: Mono chrom at o rs
7 1 T ^
B: Magnet and P o la r im e te r
FIGURE 9
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o u t l i n e d i n A ppendix B . The z irc o n iu m p o in t s o u rc e was u se d f o r
some p r e l im in a r y m easu rem en ts b e f o r e th e xenon lam p a r r i v e d . The
z irc o n iu m lam p i s an e x c e l l e n t s o u rc e o f c o n tin u o u s r a d i a t i o n
down to a b o u t 4000 A, b u t i s n o t a t a l l s a t i s f a c t o r y be low t h a t .
C om parison s p e c t r a o f th e two l i g h t s o u rc e s a r e shown i n
F ig u re 1 0 .
M onochrom ators
The tw o m onochrom ators u s e d a r e a J a r r e l l - A s h 0 .2 5 m e te r
E b e r t and a Durrum 0 .3 0 m e te r C z e rn y -T u rn e r . The J a r r e l l - A s h
in s t r u m e n t em ploys two g r a t i n g s , one b la z e d f o r maximum e f f i c i e n c y
a t 6000 A, th e o t h e r a t 3000 A. I t h a s p l u g - i n s l i t s a v a i l a b l e
i n v a r io u s f ix e d w id th s , o f w h ich th e 100 m ic ro n 3 iz e was on
h a n d . W aveleng th r e a d o u t i s d i g i t a l .
The Durrum in s t r u m e n t u s e s a g r a t i n g w i th a 5000 A b la z e to
c o v e r th e r e g io n from 10000A to 3300 A, and a fu s e d s i l i c a p r ism
i n a L i t t r o w m o u n tin g f o r th e r e g io n from 1800 A to 3300 A. A
s e r i e s o f h ig h p a s s f i l t e r s a re in c o r p o r a te d i n t o th e in s t r u m e n t ,
a l lo w in g some o f t h e s t r a y l i g h t to be b lo c k e d . C o n tin u o u sly
a d ju s t a b le s l i t s a r e em ployed and w a v e len g th re a d o u t i s on a
s c r o l l ty p e s c a l e .
As d is c u s s e d p r e v io u s ly , th e r e d u c t io n o f s t r a y l i g h t l e v e l s
i s o f some im p o r ta n c e i n F a rad a y e f f e c t s t u d i e s . The amount o f
s t r a y l i g h t p r e s e n t i n each m onochrom ator was d e te rm in e d by ob
t a i n i n g a sp ec tru m o f th e l i g h t com ing o u t o f th e u n i t . A H i lg e r
medium d i s p e r s io n q u a r t z s p e c t r o g ra p h (C ornu m ounting) was u se d
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
33
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
w ith Kodak SA-3 p l a t e s f o r t h i s p u rp o s e . The J a r r e l l - A s h u n i t
was a d ju s t e d a c c o r d in g to i n s t r u c t i o n s s u p p l i e d w i th th e
in s t r u m e n t . S in c e a d ju s tm e n t i n s t r u c t i o n s w ere n o t a v a i l a b l e
f o r th e Durrum u n i t , i t was t e s t e d as. i s . The r e s u l t s a r e i n
d i c a t e d i n F ig u re 1 1 . C le a r ly , n e i t h e r u n i t by i t s e l f w ould be
s a t i s f a c t o r y . T h e r e f o r e i t was d e c id e d to u s e th e two u n i t s
t o g e t h e r so t h a t th e y w ould a c t a s a d o u b le m onoch rom ato r.
The: b e s t im a g in g i s o b ta in e d w ith t h e l i g h t s o u rc e fo c u s e d
on th e e n t r a n c e s l i t o f th e Durrum in s t r u m e n t and o u tp u t l i g h t o f
t h e Durrum in s t r u m e n t f o c u s e d w ith a q u a r t z l e n s on th e J a r r e l l -
Ash m o n och rom ato r. The J a r r e l l - A s h m onochrom ator i s u s e d w ith
o u t s l i t s and i n e f f e c t a c t s a s a tu n e a b le f i l t e r . I n o p e r a t io n
th e w a v e le n g th i s s e t on th e Durrum in s t r u m e n t and th e J a r r e l l -
Ash tu n e d f o r maximum t r a n s m is s io n , a s i n d i c a t e d by th e p h o to
m u l t i p l i e r o u tp u t v o l t a g e .
P o la r im e te r and Sam ple C e l ls
The p o la r im e te r u s e d i s a R udolph M odel 80 w i th q u a r tz
o p t i c s . The s c a l e c an b e r e a d d i r e c t l y to 0 .0 0 1 d e g re e o f a r c .
The o n ly m o d i f ic a t io n s a r e th e a d d i t i o n o f a mask t o th e e x i t
s id e o f th e a n a ly z e r t o b lo c k o f f t h e d e v ia te d r a y from th e q u a r t z
c r y s t a l and th e a d d i t i o n o f s u p p o r t s f o r th e R e fe re n c e beam m ir
r o r s , a s shown i n th e p h o to g ra p h , F ig u re 9 . T hese s u p p o r t s a r e
f a s t e n e d by th e sc re w s d e s ig n e d t o s e c u r e th e sam ple c e l l h o ld e r
i n ORD w ork .
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MONOCHROMATOR SPECTRA
FIGURE 11
Top g roup : Durrum O .3O M C z e rn y -T u rn e r•Bottom group : J a r r e l l - A s h 0 .2 5 M E b e r t .W avelength s e t t in g s ( f r o m to p t o b o tto m ):
2500 A, 3000 A, 3500 A, 5000 A.
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The sam ple c e l l s a r e s ta n d a r d R udolph ORD c e l l s o f l e n g th
0 .1 , 1 .0 , 5 .0 , and 10 cm. The 0 .1 and 1 .0 cm c e l l s a r e o f m e ta l
c o n s t r u c t i o n and a r e s l i g h t l y m a g n e tic . The o th e r c e l l s a r e
g l a s s w i th th re a d e d m e ta l end r i n g s f o r th e a tta c h m e n t o f end
p l a t e s . The end p l a t e s i n a l l c a s e s a r e h e ld on by p r e s s u r e
from a sc re w c a p . B o th g la s s and fu s e d s i l i c a e n d p la te s a r e
a v a i l a b l e . A t 5000 A, th e f u s e d s i l i c a e n d p la te s show r o t a t i o n s
o f a b o u t 0 .5 d e g re e .
M agnet and Pow er S upp ly
The m agnet u se d was c o n s t r u c te d a t The U pjohn Company. I t
c o n s i s t s o f tw o w in d in g s o f #13 c o p p e r w ire w ith 1625 tu r n s i n
e a c h w in d in g . B etw een th e w in d in g s and on each end i s l o c a t e d a
p an cak e o f c o p p e r tu b in g f o r c o o l in g p u rp o s e s .
The c e n te r tu b e i s o f th e p ro p e r d ia m e te r to a c c e p t th e
R udo lph sam ple c e l l s . A t h i n ru b b e r w ash e r i s a t t a c h e d to one
p o le p ie c e so t h a t th e c e l l s a r e h e ld t i g h t l y i n p l a c e .
The o r d e r o f m agn itude o f th e f i e l d p ro d u ced was m easu red
u s in g th e r o t a t i o n o f 5000 A l i g h t by w a te r . The f i e l d was a b o u t
8000 g a u ss w ith th e 1 .0 cm c e l l and a c u r r e n t o f 5 a m p e res . No
a tte m p t was made to o b t a in a c c u r a te v a lu e s o f th e f i e l d ; t h e r e -
“ f o r e , th e r o t a t i o n s q u o te d i n t h i s t h e s i s a r e n o t to be c o n s id e re d
a b s o lu te r o t a t i o n s .
T herm ocup les a r e lo c a te d a t u n s p e c i f ie d p o s i t i o n s i n th e
w in d in g s . At 5 am p e res , a l l te m p e ra tu re s rem a in ed 20 d e g re e s
c e n t i g r a d e , o r l e s s , above a m b ie n t.
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The m agnet i s pow ered "by a S o re n se n SR-2 e l e c t r o n i c a l l y
r e g u la te d s u p p ly , r a t e d a t 300 v o l t s and 10 a m p e res . The su p p ly
i s n o t c u r r e n t r e g u l a t e d , h u t th e m agnet i s n o t on lo n g enough a t
any one tim e t o c a u se la c k o f c u r r e n t r e g u l a t i o n to be a p ro b le m .
E l e c t r o n i c s
The p h o t o m u l t i p l i e r tu b e u s e d i s an RCA I P 28. The tu b e i s
hou sed i n a .b u i l t - u p alum inum box p a in t e d f l a t b la c k i n s i d e and
e l e c t r i c a l l y g ro u n d ed . The box i s a t t a c h e d t o th e p o l a r im e te r
by a s m a ll tu b e i n s e r t e d i n to th e h o le d e s ig n a te d f o r a t e l e s c o p e .
The p h o to m u l t i p l i e r pow er su p p ly i s a f u l l wave c i r c u i t w ith g a s -
tu b e r e g u l a t i o n .
The a m p l i f i e r i s a s t r a ig h t f o r w a r d c i r c u i t em ploy ing 3 tu n e d
s t a g e s . T u n in g i s a c c o m p lish e d by m eans o f L-C c i r c u i t s i n th e
p l a t e o f e a ch s ta g e . The r e c t i f i e r and m e te r c i r c u i t s a r e a d a p ta
t i o n s from th e H ew le t P a c k a rd 400AB a -c vacuum tu b e v o l tm e te r .
The o u tp u t o f th e a m p l i f i e r d r iv e s a 1 mA m e te r i n p a r a l l e l w ith
1000 ja f . The tim e c o n s ta n t i s s u f f i c i e n t l y lo n g to damp o u t some
o f th e n o i s e , b u t s h o r t enough t h a t th e b a la n c e p o in t c an be e a s i
l y l o c a t e d .
An o s c i l lo s c o p e i s c o n n e c te d ahead o f th e tu n e d s ta g e s to
a id i n a d ju s tm e n t and a lig n m e n t o f th e o p t i c a l sy s te m . F ig u re 12
shows t y p i c a l w aveform s o b ta in e d from th e p h o t o m u l t i p l i e r tu b e .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
PHOTOMULTIPLIER OUTPUT SIGNAL
FIGURE 12
Tops Sam ple Learn, s i g n a l .B ottom s R e fe re n c e beam s i g n a l . C e n te rs Sum o f sam p le and r e f e r e n c e
beam s i g n a l s .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
M is c e lla n e o u s O p t ic a l Com ponents
F r o n t s u r f a c e a lu m in iz e d m i r r o r s , o b ta in e d from th e Edmund
S c i e n t i f i c Company, a r e u se d to bend th e r e f e r e n c e beam.
The c h o p p e r i s c o n s t r u c te d o f y e llo w b r a s s and h a s m ir r o r s
g lu e d t o i t s se g m e n ts . The two m ir r o r s a r e o f e q u a l m ass , b u t
t h e c h o p p e r i s n o t d y n a m ic a lly b a la n c e d . The c h o p p e r i s d r iv e n
by a sy n c h ro n o u s p h o n o g rap h m o to r .
A p ie c e o f p l a s t i c P o l a r o i d m a t e r i a l i s u s e d a s th e r e f e r
ence beam a t t e n u a t o r . T h is i s a d e q u a te e x c e p t below 3000 A
w here th e p l a s t i c a b s o rb s t h e i n c i d e n t l i g h t a lm o s t c o m p le te ly .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
CHAPTER V I
INSTRUMENT PERFORMANCE
An a t te m p t w i l l now be made t o o u t l i n e th e p e rfo rm a n c e o f
th e f i n a l v e r s i o n o f th e in s t r u m e n t .
The f i r s t i te m to be c o n s id e re d i s a e ro p o i n t s t a b i l i t y .
T h is can be o f some im p o r ta n c e b e c a u se o f th e f i n i t e t im e ( a b o u t
30 seco n d s) in v o lv e d i n t a k in g m ea su rem e n ts . F l u c tu a t i o n s o f 0 .1
d e g re e o v e r th e p e r io d o f a r e a d in g w ere found o n ly o c c a s i o n a l l y .
I n f a c t , m easu rem en ts show ing a z e ro p o i n t s h i f t o f 0 .1 d e g re e
w ere u s u a l l y d i s c a r d e d b e c a u s e s h i f t s o f 0 .0 5 d e g re e o r l e s s w ere
much more common. I n many c a s e s , no d e t e c t a b l e s h i f t was n o te d .
I n c a s e s w here th e z e ro d id s h i f t , th e mean o f th e two z e ro r e a d
in g s was u se d a s th e f i n a l z e ro v a lu e .
F ig u re 13 i s a c h a r t show ing th e o u tp u t s i g n a l o f th e s y s te m .
The p u l s e s r e p r e s e n t r o t a t i o n s o f 0 .5 d e g re e and w ere o b ta in e d by
r a t a t i n g th e a n a ly z e r 0 .5 d e g r e e . The n o i s e l e v e l i s a b o u t 0 .0 1 5
d e g re e .
A c h eck was made t o d e te rm in e th e e f f e c t o f r e v e r s in g th e
d i r e c t i o n o f th e m ag n e tic f i e l d . A t 3000 A, w ith w a te r i n th e
1 .0 mm c e l l , th e f o l lo w in g r o t a t i o n m easu rem en ts w ere mades
1 . R o ta t io n o b ta in e d w ith f i e l d d i r e c t i o n su c h t h a t w a te r r o t a t e s th e p la n e o f p o l a r i z a t i o n c lo c k w is e ( p o s i t i v e r o t a t i o n ) : 1 .9 9 d e g r e e s .
2 . R o ta t io n o b ta in e d w ith f i e l d r e v e r s e d ( n e g a t iv e r o t a t i o n )2 .0 0 d e g re e s .
40
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
41
Phgo
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
FIGU
RE
13
42
3 . One h a l f th e r o t a t i o n o b ta in e d by a llo w in g th e z e ro c o n d i t io n to be f i e l d on ( p o s i t i v e d i r e c t i o n ) , and th e n r e v e r s in g th e d i r e c t i o n o f th e f i e l d : 1 .9 9 d e g r e e s .
Each num ber i s th e mean o f th r e e t r i a l s and th e s p re a d i n v a lu e s
f o r e a c h s e t o f th r e e t r i a l s i s 0 .0 2 d e g re e . The o n ly a d v a n ta g e
i n r e v e r s i n g th e f i e l d w ould b e to o b t a i n an e f f e c t tw ic e a s l a r g e
a s n o rm a l.
The n e x t f a c t o r to b e d i s c u s s e d i s th e e f f e c t o f m aking
m easu rem en ts w ith th e a n a ly z e r i n d i f f e r e n t q u a d r a n ts . The
f o l lo w in g was o b se rv e d :
W av elen g th Q u ad ran t R o ta t io n o f W ater i n 1 mm C e ll
3000 A 1 1 .9 72 1 .9 9 mean 1 .9 93 2.014 1 .9 9
5000 A 1 0 .6 82 0 .6 1 mean 0 .6 53 0 .6 94 0 .6 3
T h ere a p p e a r s to b e a s i g n i f i c a n t v a r i a t i o n a t 5000 A and a s m a ll
v a r i a t i o n a t 3000 A. S in c e th e same q u a d ra n t i s u se d f o r a l l
m e a su re m e n ts , t h i s e f f e c t s h o u ld c a n c e l when th e s o lv e n t r o t a t i o n
i s s u b t r a c t e d from th e t o t a l r o t a t i o n . T h e r e f o r e , th e r e s u l t s a re
r e p o r t e d w i th o u t t h i s c o r r e c t i o n .
The a n a ly z e r s c a l e h a s v e r n i e r s on b o th o f i t s s id e s and a t
th e no rm al o p e r a t in g p o s i t i o n o f 10 d e g r e e s , a c o r r e c t i o n o f a b o u t
0 .0 0 8 d e g re e was fo u n d t o be n e c e s s a r y . T h is I s a l s o n e g le c te d
i n r e p o r t i n g th e r e s u l t s , s in c e i t i s c o n s ta n t f o r b o th s o lv e n t
and s o l u t e . The q u a d ra n t d a ta ab o v e , how ever, in c lu d e s t h i s
c o r r e c t i o n .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
43
A lth o u g h n o t e s p e c i a l l y im p o r ta n t , th e v a r i a t i o n o f
r o t a t i o n w ith m agnet c u r r e n t was i n v e s t i g a t e d . The n e a r ly
l i n e a r r e s u l t i s shown i n F ig u re 1 4 . A ll r e a d in g s d u r in g th e
a c tu a l e x p e r im e n t w ere ta k e n a t a c o n s ta n t 5 am p eres .
The c e l l windows can exert a profound influence on the
observed rotation s. The s i l i c a endplates used in the present
work had a p p a r a n t ly b e e n s t r a i n e d , b e c a u s e r o t a t i n g th e c e l l
produced variations in rotation of up to 0 ,1 degree. Also,
changing the pressure on the endplates caused s ig n ifica n t24ch a n g es i n t h e r o t a t i o n . K in g r o t a t e d a c o v e r s l i p sm eared
w ith o i l from h i s f i n g e r s and o b se rv e d a p eak t o p eak v a r i a t i o n i n
b a la n c e p o i n t o f a b o u t 0 .0 3 d e g re e . F o r th e s e r e a s o n s some
a t te m p t was made to s t a n d a r d i z e th e m ethod o f a s s e m b lin g th e c e l l .
The c e l l was f i l l e d by a t t a c h i n g one e n d p la t e , p l a c i n g 3 d ro p s
o f th e s o l u t i o n to b e t e s t e d i n th e c e l l * and d ro p p in g th e o th e r
e n d p la te i n t o p l a c e . The e h d p la te s w ere h a n d le d o n ly by t h e i r
e d g e s . The sc re w c a p s and th e body o f t h e c e l l w ere s c r a tc h e d to
a llo w r e t u r n i n g to a p p ro x im a te ly th e same p r e s s u r e e a c h t im e .
The windows had one edge ground s lig h tly ; th is edge was always
placed with the same orientation in the c e l l . The c e l l was
placed in the polarimeter with the scratch marks facing up.
Several water curves were run to check the reproducib ility .
The values of rotation at 5000, 4000, and 3000 A reproduced to
within 0.03 degree in t r ia ls made three d ifferen t days. The
points at 5000 , 4000, and 3000 A are each the mean of none measure
ments. The standard deviation of the mean in each case i s about
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
ROTATION VERSUS MAGNET CURRENT
2 -5 '
wCDCD
b£)aflo
•H• PCO
- poK
2 . 0
1-5^ 5 6 7
Magnet C u rren t, Amperes
FIGURE Tit-
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
0 .0 1 d e g re e . The in te r m e d ia t e p o i n t s a r e e a c h th e mean o f t h r e e
m ea su rem e n ts . A c u rv e was f i t t e d to a l l t h e p o i n t s by h a n d .
The s t a t i s t i c a l e r r o r s i n th e w a te r c u rv e a r e u s u a l l y ta k e n
to b e on th e o r d e r o f 0 .0 2 d e g re e . T hus, by th e t im e th e w a te r
c u rv e i s s u b t r a c te d from th e s o lu t i o n c u rv e , th e e r r o r i s a b o u t
0 .0 5 d e g re e *
F ig u re 15 shows th e f i n a l w a te r c u rv e and p o i n t s . A lo g -
lo g p lo t- , p r e s e n te d i n F ig u re 1 6 , was a l s o made o f t h e s e d a t a .
A p p a re n tly , o v e r th e r e g io n o f i n t e r e s t , a s i n g l e te rm d i s
p e r s i o n e q u a t io n w i l l v e ry n e a r ly f i t th e c u rv e . The ex p o n e n t
i s a b o u t - 2 .1 8 , t h a t i s , th e r o t a t i o n i s p r o p o r t i o n a l to tTg.ig .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
Rot
atio
n,
Deg
rees
FARADAY ROTATION OF WATER
2 . a .
4500IjOOO W avelen gth , A
3000 3500 5000 5500
FIGURE 15
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission
4 .0
3 -0
L0G-L0G PLOT OP THE FARADAY ROTATION OP WATER
2.0 -
1.0
0 .90.8
034)
£ 0.76Do 0.6
£° 0 .5$■po« 0 .4
0 -3 - i -----------1........ ~i--3 4 5W avelength , 1000
T*8
T9 10
FIGURE 16
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
CHAPTER V I I
DATA
The compounds t e s t e d w ere o b ta in e d from th e C h em is try
D ep artm en t a t W e ste rn M ic h ig a n U n i v e r s i ty . They w ere a l l r e a g e n t
g r a d e , b u t o th e r w is e no s p e c i a l p r e c a u t io n s w ere ta k e n to i n s u r e
p u r i t y . D i s t i l l e d w a te r was u se d i n m ost c a s e s as th e s o lv e n t .
I n g e n e r a l , b e c a u s e th e r o t a t i o n o f th e s o l u t e i s w hat i s o f
i n t e r e s t th e e f f e c t o f th e s o lv e n t m ust somehow b e s u b t r a c te d
o u t . S h ash o u a a c c o m p lish e d t h i s by u s in g two sam ple c e l l s and
two m a g n e ts . The s o l u t i o n to b e m easu red was c o n ta in e d i n one
c e l l and m agnet and th e s o lv e n t i n th e o th e r c e l l and m ag n e t.
The c u r r e n t i n th e seco n d m agnet w as, how ev er, r e v e r s e d , so t h a t
r o t a t i o n due to th e s o lv e n t a lo n e c a n c e l le d t h a t due to th e
s o lv e n t i n th e s o l u t i o n . S in c e t h i s a p p ro a c h was n o t p r a c t i c a l
i n th e p r e s e n t c a s e , th e s o lu t i o n and s o lv e n t r o t a t i o n s w ere
m easured s e p a r a t e l y and s o lv e n t r o t a t i o n s w ere s u b t r a c te d from
th e s o l u t i o n r o t a t i o n s t o o b ta in th e s o lu t e r o t a t i o n s . To be
p e r f e c t l y c o r r e c t , one s h o u ld ta k e i n t o a c c o u n t th e d i f f e r e n c e s
i n d e n s i ty b e tw een th e s o l u t i o n and s o lv e n t , a s in d ic a te d by
S h ash o u a . As m en tio n e d i n C h a p te r VT, th e s e c o r r e c t i o n s have
b e e n n e g le c te d w ith t h e u n d e r s ta n d in g t h a t a b s o lu t e r o t a t i o n s
a r e n o t b e in g p r e s e n te d i n t h i s p a p e r (o n e m ust s t i l l b e c a r e f u l
a b o u t c o m p arin g compounds t e s t e d i n d i f f e r e n t c o n c e n t r a t i o n s ) .
As i n d i c a t e d e a r l i e r , no p a r t i c u l a r r u l e s g overned th e c h o ic e
o f com pounds. N ic k e l s u l f a t e and f e r r i c c h lo r i d e w ere c h o se n so
48
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
t h a t some o f t h e r e s u l t s c o u ld be com pared t o p r e v io u s w ork .
P o ta s s iu m io d id e was c h o se n t o r e p r e s e n t th e in o r g a n ic d ia m a g n e tic
compounds b e c a u s e i t a b s o rb s i n a c o n v e n ie n t r a n g e , a b o u t 3200 A.
C u p ric s u l f a t e was c h o se n to o b ta in an exam ple o f a n o th e r i r o n
g roup io n .
Comments on th e i n d iv i d u a l io n s f o l lo w .
P o ta s s iu m I o d id e
A t e n p e r c e n t s o lu t io n , g iv e s b e s t r e s u l t s . The r o t a t i o n
c u rv e i s shown i n F ig u r e 1 7 . T h is a p p e a rs t o be a ty p e I s p e c t
rum w ith p e a k s u n e q u a l i n a m p litu d e , b u t c o u ld be i n t e r p r e t e d as
a ty p e I I s p e c tru m , s in c e r e a d in g s be low 3000 A w ere n o t p o s s i b l e .
The a b s o r p t io n p e a k o c c u rs a t ab o u t t h e w a v e le n g th o f th e lo w e s t
p o i n t on th e r o t a t i o n c u r v e .
C u p ric S u l f a t e
A one p e r c e n t s o l u t i o n g iv e s a t y p i c a l ty p e I I s p e c tru m , as
i n d i c a t e d i n F ig u re 1 8 . T h is s o l u t i o n i s tcro weak to a l lo w an
a b s o r p t io n c u rv e to be made w ith t h i s in s t r u m e n t . N ote t h a t
t h e r e i s a s u g g e s t io n t h a t th e r o t a t i o n i s n e g a t iv e b e lo w th e
a b s o r p t io n and p o s i t i v e above i t , m ore o r l e s s i n ag reem en t
w i th some o f th e r e s u l t s q u o te d i n th e th e o r y s e c t i o n . I f th e
r o t a t i o n i s p r o p o r t i o n a l t o c o n c e n t r a t io n , c o p p e r s u l f a t e e x h ib i t s
c o n s id e r a b ly more a c t i v i t y th a n p o ta s s iu m i o d id e . The n e x t s te p
s h o u ld p ro b a b ly b e th e d e te r m in a t io n o f th e e f f e c t o f c o n c e n t ra
t i o n on th e c u r v e .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
FARA
DAY
ROTA
TION
OF
KI
50
O <D O i—I O (U 00 >
UA0O
SO•H5i—IOCQmPoa>6 cTtfl.oI—1
sasjigao; ‘’uoTq.eq.oH
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
LALA
LA
-=i*oCQ30
§
1
I«
O -P O bO LT\ fd OO d)
ro
UAOJoo OJ O OJ rn
o+
o+
01 oI OIsaauSaQ; fnoxq.Bq-oa
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
1 $
Aqu
eous
S
olu
tio
n
52
F e r r i c C h lo r id e
S hashoua o b ta in e d a ty p e I I sp e c tru m f o r t h i s compound i n
a l c o h o l . S e v e ra l a t te m p ts w ere made to r e p e a t t h i s w ork, f i r s t
w i th w a te r and th e n w ith i s o p r o p y l a lc o h o l . A c o n s id e r a b le
amount o f d i f f i c u l t y was e x p e r ie n c e d w ith c o n ta m in a t io n o f th e
s o l u t i o n s , w hich c a u se d them t o d a rk e n p r o g r e s s iv e l y w i th tim e
( T h is e f f e c t was n o t i c e a b le o v e r a p e r io d o f s e v e r a l h o u r s ) .
P a r t o f th e c a u se was e v e n tu a l ly fo u n d to b e th e r u s t on th e i n
s id e o f th e 1 .0 cm c e l l . T h is was d e te rm in e d from th e f a c t t h a t
a p o r t i o n o f t h e s o l u t i o n , when p la c e d i n th e c e l l f o r a b o u t
f i f t e e n m in u te s would become a lm o s t o p aq u e , and no su c h d i f f i c u l t y
was e x p e r ie n c e d w ith th e g l a s s c e l l s o r th e 1 .0 mm c e l l .
The b e g in n in g o f a ty p e I I sp e c tru m i s o b se rv e d i n a 0 .0 1
p e r c e n t s o l u t i o n i n w a te r w i th th e 1 .0 c e l l add a r e l a t i v e l y
good ty p e I I c u rv e i s o b ta in e d i n a 0 .0 1 p e r c e n t s o l u t i o n o f
i s o p r o p y l a lc o h o l . T h is c u rv e i s , how ever, s h i f t e d i n wave
le n g th a s com pared to th e c u rv e r e p o r t e d by S h ash o u a .
N ic k e l S u l f a t e
S e v e ra l r e l a t i v e l y low p r e c i s i o n ru n s w ere made on L o v in g 's
o r i g i n a l s o l u t i o n s . As shown i n F ig u re 1 9 , weak ty p e I s p e c t r a
a r e o b ta in e d f o r th e 0 .7 5 and 2 .0 fo rm a l s o l u t i o n s ( t h e o th e r s
w ere n o t t r i e d ) . T h is i n a g reem en t w ith h i s r e s u l t s , b u t th e
e f f e c t s s e e n h e re a r e n o t a s s t r o n g .
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
A f r e s h s o l u t i o n o f one p e r c e n t HiSO^SHgO d id n o t e x h i b i t
an anom alous e f f e c t , a s i n d i c a t e d i n F ig u r e 2 0 . A s l i g h t e f f e c t
may b e o c c u r in g above 4000 A b u t t h i s d rop i n r o t a t i o n i s p ro b
a b ly n o t s i g n i f i c a n t .
As i n d i c a t e d i n F ig u r e 21 , a t e n p e r c e n t s o l u t i o n d id e x h i b i t
a v e ry b ro a d ty p e I s p e c tru m , b u t a d d i t i o n a l ru n s w ould b e n e c e s
s a r y to d e te rm in e w h e th e r o r n o t t h i s e f f e c t r e a l l y e x i s t s . I n
any c a s e , th e s t r o n g e f f e c t n o t i c e d by L o v in g does n o t a p p e a r to
b e p r e s e n t . T here i s a l s o th e p o s s i b i l i t y t h a t th e e f f e c t n o t i c
ed h e re i s due to i n t e r a c t i o n s w i th th e s o lv e n t . I n any c a s e ,
t h i s compound s h o u ld be i n v e s t i g a t e d f u r t h e r .
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
Rot
atio
n,
Deg
rees
FARADAY ROTATION OF NiSO
TT
2500 3000 3500 A000W avelen gth , A
0 .7 5 F
030002500
W avelength , A
FIGURE 19
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
Rot
atio
n,
Deg
rees
R
otat
ion
, D
egre
es
55
FARADAY ROTATION OF N iS O ^ H gO
1 <p Aqueous S o lu t io n
- 0 . 1 -
- 0 . 2 J500035003000
W avelength , A
FIGURE 20
v 0 . 2 4.1 0 f Aqueous S o lu t io n
- 0 . 1 -
50003000W avelength , A
FIGURE 21
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission.
CHAPTER V I I I
SUMMARY AND CONCLUSIONS
In s t ru m e n t
A d o u b le beam , d i r e c t r e a d in g p o la r im e te r f o r s tu d y o f th e
F a ra d a y e f f e c t was c o n s t r u c te d and t e s t e d . S t a t i s t i c a l f l u c t u a
t i o n s i n th e m easu red r o t a t i o n s amount to a b o u t 0 .0 2 d e g re e w ith
e ig h t o r t e n t r i a l s and a re g e n e r a l ly w i th in 0 .0 3 d e g re e f o r
th r e e t r i a l s . S y s te m a tic e r r o r s , due t o n o n u n ifo rm ity o f co n
s t r u c t i o n o f th e a n a ly z e r and i r r e g u l a r i t i e s i n th e s c a l e amount
to ab o u t th e same le v e l, a b o u t 0 .0 3 d e g re e , b u t h ave b een n e g le c te d
b e c a u se th e c u rv e s r e p o r t e d h e re r e f l e c t th e d i f f e r e n c e s b e tw een
th e s o lu t e and s o lv e n t c u rv e s .
The s e n s i t i v i t y o f th e in s t r u m e n t i s on th e o r d e r o f 0 .0 1
d e g re e .
The e r r o r i n t h i s in s t r u m e n t , w h ile a b o u t an o r d e r o f mag
n i tu d e l a r g e r th a n th e b e s t equ ipm en t r e p o r t e d i n th e l i t e r a t u r e ,
i s s t i l l a c o n s id e r a b le im provem ent o v e r some o f th e p h o to g ra p h ic
m e th o d s . The a b s o r p t io n o f l i g h t by th e sam p le i s n o t s e v e r e i f
a 1 .0 mm p a th le n g th i s u s e d .
The p r im a ry f a c t o r w hich n e e d s to be im proved i s th e m ag n e t.
A c o n s id e r a b ly s t r o n g e r f i e l d w ould b e v e ry d e s i r a b l e and i s i n
f a c t a lm o s t n e c e s s a r y , e s p e c i a l l y w ith th e s h o r t e r c e l l l e n g t h s .
The u s e o f an a l l g l a s s c e l l i s a l s o d e s i r a b l e .
56
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C o n v e rs io n o f t h i s sy s te m t o c o m p le te ly a u to m a tic o p e r a t io n
■would h e d e s i r a b l e . T he i n s t a l l a t i o n o f a second J a r r e l l - A s h
m onochrom ato r to r e p l a c e t h e Durrum w ould f a c i l i t a t e t h i s con
s id e r a b ly „ s in c e th e J a r r e l l - A s h u n i t s a r e d e s ig n e d t o be
m ounted to g e a t h e r and eq u ip p e d w ith e l e c t r i c a l l y o p e ra te d
w a v e le n g th d r i v e . The e l e c t r o n i c s would have to be m o d if ie d
som ew hat, s in c e th e p r e s e n t equ ipm en t i s p ro b a b ly n o t p r e c i s e
enough f o r u s e i n a s e rv o sy s te m . O p e r a t io n a l a m p l i f i e r s w i th
f re q u e n c y d e p e n d e n t fe e d b a c k m ig h t be t h e b e s t c h o ic e .
M easurem ents
M easu rem en ts made on s e v e r a l i r o n g roup s a l t s a r e i n
g e n e r a l a g re e m e n t w i th th e e le m e n ta ry m odel p r e s e n te d i n th e
t h e o r y s e c t i o n .
The p r im a ry e x c e p t io n i s n i c k e l s u l f a t e . . The w ork r e p o r t e d
h e re ,, a s w e ll a s t h a t o f S h ash o u a , s u g g e s ts t h a t t h e m agneto
o p t i c a l r o t a t i o n c u rv e s o b ta in e d by L o v in g f o r n i c k e l s u l f a t e
may b e a f u n c t io n o f th e p a r t i c u l a r s o l u t i o n s he u se d .. A tte m p ts
to l o c a t e a v a lu e f o r t h e C u rie -W e iss te m p e ra tu re o f n i c k e l
s u l f a t e i n s ta n d a r d handbooks w ere n o t s u c e s s f u l ; h e n c e , a
s e a r c h o f th e l i t e r a t u r e i s n e c e s s a r y . As m en tio n ed i n C h a p te r I I ,
o n ly a no rm al r o t a t i o n c u rv e m ig h t be o b ta in e d i f th e s o l u t i o n
w ere a t i t s C u rie -W e iss tem p e ra tu re .: a t room te m p e ra tu re s The
s t r o n g e r n i c k e l s u l f a t e s o lu t i o n s d id show th e b e g in n in g s o f an
R eproduced with permission of the copyright owner. Further reproduction prohibited without permission
anom alous r o t a t i o n c u rv e . T h is o b s e r v a t io n p o in t s up th e n e c e s s i t y
o f o b t a in in g more in f o r m a t io n a b o u t th e d ep endence o f th e r o t a t i o n
on th e c o n c e n t r a t io n o f th e s o l u t i o n .
I n v e s t i g a t i o n o f th e te m p e ra tu re dependence o f th e r o t a t i o n
o v e r a ra n g e l a r g e enough t o in c lu d e th e C u rie -W eiss and C u rie
te m p e ra tu re s o f th e compound i n q u e s t io n would b e d e s i r a b l e .
The m ag n e tic p r o p e r t i e s o f th e r a r e e a r t h g roup have been
i n v e s t i g a t e d w ith N u c le a r M ag n etic R esonance te c h n iq u e s , b u t
a p p a re n t ly n o t w ith th e F a ra d a y e f f e c t . Such a s tu d y m ig h t p ro v e
i n t e r e s t i n g and im p o r ta n t .
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REFERENCES
1 . F a ra d a y , P h i l . T r a n s . , 136 1 ( 1 8 4 6 ) .
2 . J e n k in s and W h ite , F u n d am en ta ls o f O p t i c s . Hew Y ork:Me G ra w -H ill Book Co, I n c . , 3 r d , e d . , 1957 . C h a p te r 29.
3 . P a r t i n g t o n , J . R . , An A dvanced T r e a t i s e on P h y s ic a l . C h e m is try , V o l. IV . London: Longm ans, G reen and C o ., 1 9 5 3 . P p . x l - 6 8 8 .
4 . K a r ts c h a g in and T sch e tw erik o w a , 2 . P h y s ik . . 3 9 , 886 ( 1 9 2 6 ) .
5 . W ilso n and H u l l . P h y s . R ev. , 2&t> 711 ( 1 9 4 8 ) .
6 . D a v ie s , S c i . J o u r . . 2 , Ho. 1 0 , 62 ( l 9 6 6 ) .
7 . Wood, R. W.., P h y s i c a l O p t i c s . New Y ork : M a c m ill ia n C o ., 3 rd .e d . , 1934 . P . 708..
8 . S h ash o u a , J . H h sa . S o c .., 8 6 , 2109 (1 9 6 4 ) .
9 . Me C a r ta n and B a r r a u l t , J . S c i . I n s t r . , 4 4 , 265 ( 1 9 6 7 ) .
10 . Wood, o p . c i t . , p . 71 1 .
1 1 . L o v in g , "D evelopm ent o f a M ethod f o r M e asu rin g M a g n e to -O p tic a l R o ta to ry D i s p e r s io n ." U n p u b lish e d M a s te r 's t h e s i s , W este rn M ic h ig a n U n i v e r s i t y , K alam azoo, M ic h ig a n , A p r i l 1967 . P . 59*
1 2 . B r i a t , Compt. R end. , 256 , 3440 ( 1 9 6 3 ) .
1 3 . B r i a t , Compt. R end. , 259 , 2408 (1 9 6 4 ) a
1 4 . V o lk e n s te in , e t . a l . , N a tu r e , 209 . 709..
15 .. M o r r is h , The P h y s ic a l P r i n c i p l e s o f M agnetism . New Y ork :Jo h n W iley and s o n s , I n c . , 1965 . P . 6 7 .
1 6 . Low ry, T . M ., O p t i c a l R o ta to ry P ow er. New Y ork : D over p u b l i c a t i o n , I n c . , 1964. P p . x i i i - 483..
1 7 . L ow ry , op . c i t . , p . 198 .
1 8 . Wood, o p . c i t . , C h a p te r 21*
1 9 . S t ro n g , C o n cep ts o f C l a s s i c a l O p t i c s . San F r a n c is c o : W. H. F reem an and Co*, 1 958 . A ppendix D.
59
Reproduced with permission of the copyright owner. Further reproduction prohibited without permission.
20 . Low ry, o p . c i t . , p . 217.
21 . L evy , e t . a l , , Rev. S c i . I n s t r ; , 21 693 ( 1 9 5 0 ) .
222 F o r s y th e , e t . a l . , A p p lied O p t i c s , 6 , 699 ( 1 9 6 7 ) .
23 . D i tc h b u rn , R . W ., L i g h t . Mew Y ork : I n t e r s c i e n c e P u b l i s h e r s ,I n c . , 2nd . e d . , (1 9 6 3 ) Pp«
2 4 . K in g , J . S c i . I n s t r . , 4 3 , 924 ( 1 9 6 6 ) .
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APPENDIX A
61
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APPENDIX B
METHOD OF ADJUSTMENT
The o p t i c a l com ponents m ust he a c c u r a te ly a l ig n e d i n o rd e r
t o o b t a i n maximum s e n s i t i v i t y . The f o l lo w in g p ro c e d u re i s u s e d
t o s e t up th e sy s te m .
1 . The m onochrom ator s l i t h e ig h t i s a d ju s te d to b e th e sftme a s t h a t o f th e p o l a r im e te r .
2 . The l i g h t s o u rc e i s fo c u se d on th e Durrum m onochrom ato r1 s e n tr a n c e s l i t .
3 . The J a r r e l l - A s h m onochrom ator i s p la c e d so t h a t i t s e n tr a n c e s l i t l i e s a t t h e p o in t w here l i g h t from th e Durrum e x i t s l i t i s b ro u g h t to a fo c u s by th e q u a r t z l e n s .
4 . The p o la r im e te r i s o r ie n t e d and th e m onochrom ator l e v e l e d t o a l lo w l i g h t to p a s s th ro u g h th e sy s te m and f a l l on t h e p h o t o m u l t i p l i e r tu b e . T h is i s done v i s u a l l y w i th th e p h o to m u l t i p l i e r o f f .
5 . S te p num ber f o u r i s r e p e a te d w ith th e p h o t o m u l t i p l i e r on and th e r e f e r e n c e beam b lo c k e d .
6 . The sam ple beam i s b lo c k e d and th e r e f e r e n c e beam m ir r o r s a r e a d ju s te d f o r th e b e s t p o s s ib l e s q u a re wave a t th e p h o t o m u l t i p l i e r o u tp u t .
7 . The sam ple beam i s u n b lo c k e d and th e m i r r o r s a r e r e a d j u s t ed t o p ro d u c e th e lo w e s t p o s s ib l e b a la n c e s i g n a l .
67
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